Olof B. Widlund

Q: What Schools Are Affiliated With Olof B. Widlund

Olof B. Widlund is affiliated with the following schools: Uppsala University, KTH Royal Institute of Technology, New York University

Olof B. Widlund's AcademicInfluence.com Rankings

Olof B. Widlund

Mathematics

#3213

World Rank

#4794

Historical Rank

#1207

USA Rank

Measure Theory

#1543

World Rank

#1917

Historical Rank

#514

USA Rank

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Mathematics

Why Is Olof B. Widlund Influential?

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According to Wikipedia, Olof B. Widlund , is a Swedish-American mathematician. He is well known for his leading role in and fundamental contributions to domain decomposition methods. He received his Ph.D. at Uppsala University in 1966 and is professor of Computer Science at the Courant Institute of New York University.

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Olof B. Widlund's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Domain decomposition methods : algorithms and theory (2005) (2343)
Domain Decomposition Algorithms with Small Overlap (1992) (313)
Domain Decomposition Algorithms (1993) (305)
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions (1994) (266)
Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients (2002) (262)
Dual‐primal FETI methods for linear elasticity (2006) (233)
FETI and Neumann--Neumann Iterative Substructuring Methods: Connections and New Results (1999) (223)
Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions (1994) (214)
FETI‐DP, BDDC, and block Cholesky methods (2006) (205)
Domain Decomposition Algorithms for Indefinite Elliptic Problems (2017) (200)
Schwarz Methods of Neumann-Neumann Type for Three-Dimensional Elliptic Finite Element Problems (1993) (198)
Iterative solution of elliptic systems : and applications to the neutron diffusion equations of reactor physics (1967) (184)
A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations (1978) (172)
Domain Decomposition Methods in Science and Engineering (1994) (164)
On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method (1976) (155)
A note on unconditionally stable linear multistep methods (1967) (138)
Balancing Neumann‐Neumann methods for incompressible Stokes equations (2001) (136)
BDDC Algorithms for Incompressible Stokes Equations (2006) (131)
An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane (2008) (126)
Iterative Substructuring Preconditioners For Mortar Element Methods In Two Dimensions (1999) (112)
Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures (2015) (104)
Isogeometric BDDC Preconditioners with Deluxe Scaling (2014) (98)
A Polylogarithmic Bound for an Iterative Substructuring Method for Spectral Elements in Three Dimensions (1996) (96)
An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity (2009) (94)
Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions (2008) (92)
Domain Decomposition Methods in Science and Engineering XVI (2007) (83)
Some Schwarz Methods for Symmetric and Nonsymmetric Elliptic Problems (1991) (82)
On the use of inexact subdomain solvers for BDDC algorithms (2007) (82)
A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity (2000) (82)
On Fourier-Toeplitz methods for separable elliptic problems (1974) (82)
Domain decomposition algorithms for the partial differential equations of linear elasticity (1990) (82)
Multilevel additive methods for elliptic finite element problems in three dimensions (2018) (81)
Smoothing of initial data and rates of convergence for parabolic difference equations (1970) (77)
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity (2009) (74)
To overlap or not to overlap: a note on a domain decomposition method for elliptic problems (1989) (74)
SOLVING ELLIPTIC PROBLEMS ON REGIONS PARTITIONED INTO SUBSTRUCTURES (1984) (73)
Some Domain Decomposition Algorithms for Elliptic Problems (2011) (70)
A BDDC Algorithm with Deluxe Scaling for Three‐Dimensional H(curl) Problems (2016) (63)
BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields (2017) (63)
Overlapping Schwarz Algorithms for Solving Helmholtz''s Equation (1997) (63)
Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity (2003) (63)
A Hierarchical Preconditioner for the Mortar Finite Element Method (1995) (61)
An Additive Variant of the Schwarz Alternating Method for the Case of Many Subregions (2018) (61)
An adaptive choice of primal constrains for BDDC domain decomposition algorithms (2016) (59)
On finite element domain imbedding methods (1990) (59)
A family of energy minimizing coarse spaces for overlapping schwarz preconditioners (2008) (53)
Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method (2013) (51)
Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners (2017) (51)
An Iterative Substructuring Method for Raviart-Thomas Vector Fields in Three Dimensions (2000) (50)
Stability of parabolic difference schemes in the maximum norm (1966) (49)
Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow (1999) (48)
BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions (2010) (48)
Some Recent Tools and a BDDC Algorithm for 3D Problems in H(curl) (2013) (47)
On the use of Fast Methods for Separable Finite Difference Equations for the Solution of General Elliptic Problems (1972) (45)
A Domain Decomposition Algorithm Using a Hierarchical Basis (1990) (45)
Towards a Unified Theory of Domain Decomposition Algorithms for Elliptic Problems (2015) (45)
An iterative substructuring method for Maxwell's equations in two dimensions (2001) (44)
Domain Decomposition Methods in Science and Engineering XXI (2014) (39)
On the rate of convergence of an alternating direction implicit method in a noncommutative case (1966) (36)
An Iterative Substructuring Algorithm for Two-Dimensional Problems in H(curl) (2012) (35)
Domain Decomposition Methods in Science and Engineering XX (2013) (33)
Domain Decomposition Methods in Science and Engineering XVIII (2009) (31)
Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems I: Compressible Linear Elasticity (1999) (30)
Dual-Primal FETI Methods with Face Constraints (2002) (30)
29. Optimization of Interface Operator Based on Algebraic Approach (2003) (30)
Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions (2005) (29)
A Finite Element-Capacitance Matrix Method for the Neumann Problem for Laplace's Equation (1980) (29)
On the Stability of Parabolic Difference Schemes (1965) (29)
A FETI - DP Method for a Mortar Discretization of Elliptic Problems (2002) (27)
Additive Schwarz Methods without Subdomain Overlap and with New Coarse Spaces (1997) (26)
A Domain Decomposition Method With Lagrange Multipliers For Linear Elasticity (1999) (26)
Some recent results on Schwarz type domain decomposition algorithms (1992) (25)
A BDDC Method for Mortar Discretizations Using a Transformation of Basis (2008) (24)
On the effects of scaling of the Peaceman-Rachford method (1971) (24)
On the Design of Small Coarse Spaces for Domain Decomposition Algorithms (2017) (23)
On best error bounds for approximation by piecewise polynomial functions (1976) (23)
Iterative methods for elliptic problems on regions partitioned into substructures and the biharmonic Dirichlet problem (1984) (23)
Some Domain Decomposition Algorithms for Nonselfadjoint Elliptic and Parabolic Partial Differential Equations (2015) (23)
An Alternative Coarse Space for Irregular Subdomains and an Overlapping Schwarz Algorithm for Scalar Elliptic Problems in the Plane (2011) (23)
Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients (2003) (23)
Abstract Spaces and Approximation (1972) (22)
On the rate of convergence for parabolic difference schemes II (1970) (22)
A generalized FETI-DP method for a mortar discretization of elliptic problems (2003) (21)
Iterative Substructuring Methods for Spectral Elements: Problems in Three Dimensions Based on Numerical Quadrature (1997) (21)
Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D (2005) (21)
Accomodating Irregular Subdomains in Domain Decomposition Theory (2009) (21)
The Development of Coarse Spaces for Domain Decomposition Algorithms (2009) (19)
Dual and dual-primal FETI methods for elliptic problems with discontinuous co-efficients in three dimensions (2001) (17)
Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space (2017) (17)
Bddc domain decomposition algorithms: methods with three levels and for flow in porous media (2006) (17)
Domain decomposition methods in science and engineering XIX (2011) (16)
12. Partition of Unity Coarse Spaces: Enhanced Versions, Discontinuous Coefficients and Applications to Elasticity (2003) (16)
Two-Level Schwarz Algorithms with Overlapping Subregions for Mortar Finite Elements (2006) (16)
Domain Decomposition Methods in Science and Engineering XXIII (2017) (15)
A BDDC Algorithm for Raviart-Thomas Vector Fields. (2013) (14)
Capacitance Matrix Methods for the Helmholtz Equation on General Three-Dimensional Regions (2015) (14)
An Extension Theorem for Finite Element Spaces With Three Applications (2018) (14)
Additive Schwarz Methods for Elliptic Finite Element Problems in Three Dimensions (2018) (14)
On the optimality of an additive iterative refinement method (1989) (13)
Overlapping Schwarz Methods with a Standard Coarse Space for Almost Incompressible Linear Elasticity (2015) (13)
Balancing Neumann-Neumann Methods for Mixed Approximations of Linear Elasticity (2002) (13)
Domain Decomposition Methods in Science and Engineering XXIV (2018) (13)
A method of domain decomposition with crosspoints for elliptic finite element problems (1986) (13)
Terascale Optimal PDE Simulations (TOPS) Center (2007) (13)
Extending Theory for Domain Decomposition Algorithms to Irregular Subdomains (2008) (13)
BDDC Deluxe Domain Decomposition (2016) (12)
Difference approximations for initial value problems for partial differential equations (1966) (11)
Iterative substructuring methods for spectral element discretizations of elliptic systems in three dimensions (2000) (11)
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity (2021) (11)
Domain Decomposition Methods for Elliptic Partial Differential Equations (1999) (10)
Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements (1995) (10)
Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods (2004) (10)
Iterative Substructuring Methods: Algorithms and Theory for Elliptic Problems in the Plane (2018) (10)
Capacitance matrix methods for Helmholtz’s equation on general bounded regions (1978) (10)
A BDDC ALGORITHM FOR PROBLEMS WITH MORTAR DISCRETIZATION (2005) (10)
Some recent applications of asymptotic error expansions to finite-difference schemes (1971) (9)
Algorithm 572: Solution of the Helmholtz Equation for the Dirichlet Problem on General Bounded Three-Dimensional Regions [D3] (1981) (9)
Iterative substructuring methods for spectral elements in three dimensions (1993) (9)
Multiplicative Schwarz Algorithms for Some Nonsymmetric and Indefinite Problems (2018) (9)
Lower Dimensional Coarse Spaces for Domain Decomposition (2014) (8)
High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions (2015) (7)
Isogeometric BDDC deluxe preconditioners for linear elasticity (2018) (7)
A BDDC Preconditioner for Saddle Point Problems (2007) (6)
On difference methods for parabolic equations and alternating direction implicit methods for elliptic equation (1967) (6)
Domain Decomposition Methods in Science and Engineering XVI (Lecture Notes in Computational Science and Engineering) (2007) (6)
Optimal Iterative Refinement Methods (2019) (6)
Applications of conjugate gradient type methods to eigenvalue calcuations (1979) (6)
Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems (1988) (5)
On the expansion of generalized functions in series of Hermite functions (1961) (5)
Preconditioned conjugate gradient solvers for spectral elements in 3D (1995) (5)
Overlapping schwarz algorithms using discontinuous iterates for poisson's equation (2001) (5)
Domain decomposition methods; Proceedings of the Second International Symposium, Los Angeles, CA, Jan. 14-16, 1988 (1989) (5)
Overlapping Schwarz methods for Helmholtz's equation (1998) (5)
First-order System Least- Squares for Second-order Partial Diierential Equations: Part Ii. Siam J (1996) (5)
On the rate of convergence of the classical Schwarz alternating method in the case of more than two subregions (1988) (5)
32. Some new domain decomposition and multigrid methods for variational inequalities (2003) (4)
TWO-LEVEL SCHWARZ ALGORITHMS, USING OVERLAPPING SUBREGIONS, FOR MORTAR FINITE ELEMENT METHODS (2005) (4)
Some results on best possible error bounds for finite element methods and approximation with piecewise polynomial functions (1971) (4)
BDDC domain decomposition algorithms (2020) (4)
BDDC Deluxe for Isogeometric Analysis (2016) (4)
Iterative solution of elliptic finite element problems on locally refined meshes (1989) (4)
Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo (1994) (3)
Error estimates for partial differential equations (1968) (3)
Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo (1994) (3)
Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods (2020) (3)
Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners (2017) (3)
Numerical solution of Helmholtz's equation by the capacitance matrix method. [In FORTRAN for IBM 360/75 computer] (1975) (3)
Preconditioners for spectral and mortar finite element methods (1995) (3)
Some Domain Decomposition Algorithms for Mixed Formulations of Elasticity and Incompressible Fluids (2010) (3)
Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo (1994) (3)
BDDC and FETI-DP Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity (2011) (3)
New results on FETI methods for elliptic problems with discontinuous co-efficients (1999) (2)
A BDDC algorithm for mortar discretization (2005) (2)
Substructuring Methods: Introduction (2005) (2)
Capacitance matrix methods for the Helmholtz equation on general three-dimensional regions. [DPOLE, driver program for HELM3D, which solves Dirichlet problem of bounded 3D region imbedded in unit cube, in CDC ANSI FORTRAN for CDC 6600, CDC 7600, Amdahl 470V/6] (1978) (2)
Building preconditioners for incompressible Stokes equations from saddle point solvers of smaller dimensions (2000) (2)
Vertex-Based Preconditioners for the Coarse Problems of BDDC (2019) (2)
On Lax's theorem on friedrichs type finite difference schemes (1971) (1)
BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis (2022) (1)
Parallel Sums and Adaptive BDDC Deluxe (2017) (1)
Introduction to finite difference approximations to initial value problems for partial differential equations (1971) (1)
Scalable and Robust BDDC Preconditioners for Reservoir and Electromagnetics Modeling (2015) (1)
A Domain Decomposition Laplace Solver for Internal Combustion Engine Modeling (2015) (1)
Small Coarse Spaces for Overlapping Schwarz Algorithms with Irregular Subdomains (2017) (1)
Domain decomposition methods in science and engineering XVIII: Proceedings of the Eighteenth International Conference on Domain Decomposition Methods, Hebrew University, Jerusalem, Israel, January 12-17, 2008 (2009) (1)
Primal Iterative Substructuring Methods (2005) (1)
Iterative substructuring methods: The general case (1986) (1)
FETI-DP Methods for Elliptic Problems with Discontinuous Coefficients in Three Dimensions (2002) (1)
Preconditioners for Isogeometric Analysis and Almost Incompressible Elasticity (2020) (1)
Terascale Optimal PDE Simulations ) DE-FC 0201 ER 25482 Activities at the Courant Institute September 15 , 2001 – March 14 , 2007 PI : (2007) (0)
On the use of Sparsity in the Solution of Finite Element Systems of Equations by Gaussian Elimination-type Methods (2015) (0)
Domain decomposition algorithms for H(curl) problems (2010) (0)
Lecture Notes in Computational Science and Engineering: Preface (2008) (0)
OVERLAPPING SCHWARZ ALGORITHMS FOR ALMOST INCOMPRESSIBLE LINEAR ELASTICITY (2014) (0)
Lower Dimensional Coarse Spaces for Overlapping Schwarz Algorithms. (2012) (0)
PhD dissertation: Studies on parabolic and alternating-direction-implicit difference schemes (1966) (0)
Domain Decomposition Solvers for Heterogeneous Field Problems (2010) (0)
Abstract Theory of Schwarz Methods (2005) (0)
Domain decomposition methods for spectral and mortar finite element approximations of elliptic problems (1996) (0)
Indefinite and Nonsymmetric Problems (2005) (0)
Domain Decomposition Methods inScienceandEngineering (2005) (0)
Some Recent Tools and a BDDC Algorithm for 3 D 2 Problems in H ( curl ) 3 (2013) (0)
Problems in H (div ; ω ) and H (curl ; ω ) (2005) (0)
Remarks on iterative methods for the solution of large systems of linear algebraic equations (1978) (0)
Elliptic Problems and Sobolev Spaces (2005) (0)
Universität Stuttgart Multilevel Additive Schwarz Preconditioner For Nonconforming Mortar Finite Element Methods (0)
A two-level Schwarz preconditioner for heterogeneous problems (2011) (0)
On Inexact Solvers for the Coarse Problem of BDDC (2020) (0)
Final Report, DE-FG01-06ER25718 Domain Decomposition and Parallel Computing (2015) (0)
Two-Level Overlapping Methods (2005) (0)
Neumann-Neumann and FETI Methods (2005) (0)
NOTES ON THE SLIDES OF THE DD 20 TUTORIAL (2011) (0)
MINISYMPOSIUM 5: FETI, Balancing, and Related Hybrid Domain Decomposition Methods (2008) (0)
On the use of fast methods for separable finite difference equations for general elliptic problems (1972) (0)
Domain decomposition methods for mortar finite elements (1996) (0)
Modeling anisotropic MHD turbulence in simulations of liquid metal flows (2001) (0)
Balancing Neumann-Neumann methods for mixed linear elasticity (2002) (0)
Robust Coarsening in Multiscale PDEs (2011) (0)
Neumann-Neumann Algorithms (Two and Three Levels) for Finite Element Elliptic Problems with Discontinuous Coefficients on Fine Triangulation ki (2007) (0)
TR 2004-857 FETI – DP , BDDC , and Block Cholesky Methods (2005) (0)
Spectral Element Methods (2005) (0)
Domain decomposition methods in science and engineering XIX: Proceedings of the Nineteenth International Conference on Domain Decomposition Methods, Zhanjiajie, China, August 17-22, 2009 (2009) (0)
Domain Decomposition Methods for Partial Differential Equations. (1991) (0)
Linear Elasticity (2018) (0)
Preconditioners for Saddle Point Problems (2005) (0)
Interaction Laws in Viscous-Inviscid Coupling (2009) (0)
Domain decomposition theory for less regular subdomains (2008) (0)
Extending Theory for Domain Decomposition to Irregular Subdomains. (2007) (0)
Solution of Algebraic Linear Systems (2005) (0)

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Other Resources About Olof B. Widlund

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What Schools Are Affiliated With Olof B. Widlund?

Olof B. Widlund is affiliated with the following schools: