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1

A note on unconditionally stable linear multistep methods

Olof B. Widlund

Journal:

BIT Numerical Mathematics

Year:

1967

Language:

english

File:

PDF, 315 KB

english, 1967

2

Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures

Bjørstad, Petter E., Widlund, Olof B.

Journal:

SIAM Journal on Numerical Analysis

Year:

1986

Language:

english

File:

PDF, 2.41 MB

english, 1986

3

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XVII Volume 60 ||

Langer, Ulrich, Discacciati, Marco, Keyes, David E., Widlund, Olof B., Zulehner, Walter

Year:

2008

Language:

english

File:

PDF, 10.82 MB

english, 2008

4

On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method

Wl̄odzimierz Proskurowski and Olof Widlund

Journal:

Mathematics of Computation

Year:

1976

Language:

english

File:

PDF, 774 KB

english, 1976

5

FETI and Neumann-Neumann iterative substructuring methods: Connections and new results

Axel Klawonn, Olof Widlund

Journal:

Communications on Pure and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 193 KB

english, 2001

6

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XVII Volume 60 || Integration of Sequential Quadratic Programming and Domain Decomposition Methods for Nonlinear Optimal Control Problems

Langer, Ulrich, Discacciati, Marco, Keyes, David E., Widlund, Olof B., Zulehner, Walter

Year:

2008

Language:

english

File:

PDF, 285 KB

english, 2008

7

Dual-Primal Feti Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients

Axel Klawonn, Olof B. Widlund and Maksymilian Dryja

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 589 KB

english, 2003

8

Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions

Maksymilian Dryja, Marcus V. Sarkis, Olof B. Widlund

Journal:

Numerische Mathematik

Year:

1996

Language:

english

File:

PDF, 324 KB

english, 1996

9

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XVI Volume 55 ||

Widlund, Olof B., Keyes, David E.

Year:

2007

Language:

english

File:

PDF, 23.04 MB

english, 2007

10

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 ||

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

Language:

english

File:

PDF, 9.85 MB

english, 2005

11

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XX Volume 91 || Multi-level Decompositions of Electronic Wave Functions

Bank, Randolph, Holst, Michael, Widlund, Olof, Xu, Jinchao

Year:

2013

Language:

english

File:

PDF, 236 KB

english, 2013

12

Dual-primal FETI methods for linear elasticity

Axel Klawonn, Olof B. Widlund

Journal:

Communications on Pure and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 371 KB

english, 2006

13

To Overlap or Not to Overlap: A Note on a Domain Decomposition Method for Elliptic Problems

Bjørstad, Petter E., Widlund, Olof B.

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1989

Language:

english

File:

PDF, 1.03 MB

english, 1989

14

Capacitance Matrix Methods for the Helmholtz Equation on General Three-Dimensional Regions

O'Leary, Dianne P., Widlund, Olof

Journal:

Mathematics of Computation

Year:

1979

Language:

english

File:

PDF, 2.67 MB

english, 1979

15

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XIX Volume 78 ||

Huang, Yunqing, Kornhuber, Ralf, Widlund, Olof, Xu, Jinchao

Year:

2011

Language:

english

File:

PDF, 13.60 MB

english, 2011

16

[Springer Series in Computational Mathematics] Domain Decomposition Methods — Algorithms and Theory Volume 34 || Primal Iterative Substructuring Methods

Toselli, Andrea, Widlund, Olof B.

Year:

2005

Language:

english

File:

PDF, 1.55 MB

english, 2005

17

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXV Volume 138 ||

Haynes, Ronald, MacLachlan, Scott, Cai, Xiao-Chuan, Halpern, Laurence, Kim, Hyea Hyun, Klawonn, Axel, Widlund, Olof

Year:

2020

File:

PDF, 16.03 MB

2020

18

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XVIII Volume 70 ||

Bercovier, Michel, Gander, Martin J., Kornhuber, Ralf, Widlund, Olof

Year:

2009

Language:

english

File:

PDF, 6.63 MB

english, 2009

19

[Springer Series in Computational Mathematics] Domain Decomposition Methods — Algorithms and Theory Volume 34 || Abstract Theory of Schwarz Methods

Toselli, Andrea, Widlund, Olof B.

Year:

2005

Language:

english

File:

PDF, 1.32 MB

english, 2005

20

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXI Volume 98 || Additive Schwarz with Variable Weights

Erhel, Jocelyne, Gander, Martin J., Halpern, Laurence, Pichot, Géraldine, Sassi, Taoufik, Widlund, Olof

Year:

2014

Language:

english

File:

PDF, 239 KB

english, 2014

21

On the Rate of Convergence of an Alternating Direction Implicit Method in a Noncommutative Case

Olof B. Widlund

Journal:

Mathematics of Computation

Year:

1966

Language:

english

File:

PDF, 1.45 MB

english, 1966

22

On the use of inexact subdomain solvers for BDDC algorithms

Jing Li, Olof B. Widlund

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2007

Language:

english

File:

PDF, 322 KB

english, 2007

23

On the numerical solution of Helmholtz’s equation by the capacitance matrix method

Proskurowski, Wlodzimierz, Widlund, Olof

Journal:

Mathematics of Computation

Year:

1976

Language:

english

File:

PDF, 3.35 MB

english, 1976

24

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 || A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

Language:

english

File:

PDF, 339 KB

english, 2005

25

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 ||

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 10.65 MB

english, 2017

26

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 || A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

Language:

english

File:

PDF, 335 KB

english, 2005

27

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 || Simulation of Blood Flow in Patient-specific Cerebral Arteries with a Domain Decomposition Method

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 306 KB

english, 2017

28

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIV Volume 125 ||

Bjørstad, Petter E., Brenner, Susanne C., Halpern, Lawrence, Kim, Hyea Hyun, Kornhuber, Ralf, Rahman, Talal, Widlund, Olof B.

Year:

2018

Language:

english

File:

PDF, 22.61 MB

english, 2018

29

A BDDC Method for Mortar Discretizations Using a Transformation of Basis

Kim, Hyea Hyun, Dryja, Maksymilian, Widlund, Olof B.

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 305 KB

english, 2009

30

A Finite Element-Capacitance Matrix Method for the Neumann Problem for Laplace’s Equation

Proskurowski, Włodzimierz, Widlund, Olof

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1980

Language:

english

File:

PDF, 1.92 MB

english, 1980

31

Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions

Clark R. Dohrmann, Axel Klawonn and Olof B. Widlund

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 1.47 MB

english, 2008

32

On the Design of Small Coarse Spaces for Domain Decomposition Algorithms

Dohrmann, Clark R., Widlund, Olof B.

Journal:

SIAM Journal on Scientific Computing

Year:

2017

Language:

english

File:

PDF, 577 KB

english, 2017

33

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 || Parallel Distributed Object-Oriented Framework for Domain Decomposition

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

Language:

english

File:

PDF, 233 KB

english, 2005

34

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 || A FETI Method for a Class of Indefinite or Complex Second- or Fourth-Order Problems

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

Language:

english

File:

PDF, 375 KB

english, 2005

35

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIV Volume 125 || Robust Block Preconditioners for Biot’s Model

Bjørstad, Petter E., Brenner, Susanne C., Halpern, Lawrence, Kim, Hyea Hyun, Kornhuber, Ralf, Rahman, Talal, Widlund, Olof B.

Year:

2018

Language:

english

File:

PDF, 290 KB

english, 2018

36

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 || Non-matching Grids and Lagrange Multipliers

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

File:

PDF, 350 KB

2005

37

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XVI Volume 55 || Scalable Three-Dimensional Acoustics Using hp-finite/infinite Elements and FETI-DP

Widlund, Olof B., Keyes, David E.

Year:

2007

Language:

english

File:

PDF, 2.01 MB

english, 2007

38

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XIX Volume 78 || Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries

Huang, Yunqing, Kornhuber, Ralf, Widlund, Olof, Xu, Jinchao

Year:

2011

Language:

english

File:

PDF, 2.47 MB

english, 2011

39

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XVII Volume 60 || A Multilevel Method for Discontinuous Galerkin Approximation of Three-dimensional Elliptic Problems

Langer, Ulrich, Discacciati, Marco, Keyes, David E., Widlund, Olof B., Zulehner, Walter

Year:

2008

Language:

english

File:

PDF, 265 KB

english, 2008

40

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XVIII Volume 70 || Multiscale Methods for Multiphase Flow in Porous Media

Bercovier, Michel, Gander, Martin J., Kornhuber, Ralf, Widlund, Olof

Year:

2009

Language:

english

File:

PDF, 1.61 MB

english, 2009

41

Algorithm 572: Solution of the Helmholtz Equation for the Dirichlet Problem on General Bounded Three-Dimensional Regions [D3]

O'Leary, Dianne P., Widlund, Olof

Journal:

ACM Transactions on Mathematical Software

Year:

1981

Language:

english

File:

PDF, 423 KB

english, 1981

42

Numerical Analysisby Roger Teman

Review by: Olof Widlund

Journal:

Mathematics of Computation

Year:

1975

Language:

english

File:

PDF, 211 KB

english, 1975

43

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 || Approximation of Optimal Interface Boundary Conditions for Two-Lagrange Multiplier FETI Method

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

Language:

english

File:

PDF, 263 KB

english, 2005

44

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 || Domain Decomposition Methods in Electrothermomechanical Coupling Problems

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

Language:

english

File:

PDF, 307 KB

english, 2005

45

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIV Volume 125 || Does SHEM for Additive Schwarz Work Better than Predicted by Its Condition Number Estimate?

Bjørstad, Petter E., Brenner, Susanne C., Halpern, Lawrence, Kim, Hyea Hyun, Kornhuber, Ralf, Rahman, Talal, Widlund, Olof B.

Year:

2018

Language:

english

File:

PDF, 558 KB

english, 2018

46

An Iterative Substructuring Algorithm for Two-Dimensional Problems in H(curl)

Dohrmann, Clark R., Widlund, Olof B.

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 883 KB

english, 2012

47

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering Volume 40 || Coupled Boundary and Finite Element Tearing and Interconnecting Methods

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Year:

2005

Language:

english

File:

PDF, 297 KB

english, 2005

48

High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions

Victor Pereyra, Wl̄odzimierz Proskurowski and Olof Widlund

Journal:

Mathematics of Computation

Year:

1977

Language:

english

File:

PDF, 335 KB

english, 1977

49

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XVII Volume 60 || A Direct Solver for the Heat Equation with Domain Decomposition in Space and Time

Langer, Ulrich, Discacciati, Marco, Keyes, David E., Widlund, Olof B., Zulehner, Walter

Year:

2008

Language:

english

File:

PDF, 193 KB

english, 2008

50

On the Effects of Scaling of the Peaceman-Rachford Method

Olof B. Widlund

Journal:

Mathematics of Computation

Year:

1971

Language:

english

File:

PDF, 401 KB

english, 1971

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