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Patrick Sanan

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linear-algebra

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What makes Fortran fast?

Dec 19 '15 at 13:06 aterrel 3,474

votes

answers

32k

views

How does the MATLAB backslash operator solve $Ax=b$ for square matrices?

linear-algebra performance matlab

Mar 2 '12 at 9:19 F'x 501

votes

answers

views

Modern resources for learning FEM

finite-element reference-request

Sep 9 '16 at 18:22 Hosein Rahnama 111

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answers

views

Are there any famous problems/algorithms in scientific computing that cannot be sped up by parallelisation

parallel-computing

May 27 '17 at 14:02 Jakub Klinkovský 442

votes

answers

13k

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Why is my iterative linear solver not converging?

linear-algebra petsc preconditioning krylov-method iterative-method

Jan 7 '12 at 1:29 Community♦ 1

votes

answers

13k

views

What is pseudo time-stepping?

pde time-integration

May 7 '13 at 17:22 Shainath 449

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Portable multicore/NUMA memory allocation/initialization best practices

performance memory-management multicore

Dec 19 '13 at 10:13 eoinbrazil 111

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answers

views

What is the advantage of multigrid over domain decomposition preconditioners, and vice versa?

pde multigrid preconditioning domain-decomposition

Jan 10 '12 at 9:31 Community♦ 1

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answer

views

Can a Krylov subspace method be used as a smoother for multigrid?

linear-algebra multigrid iterative-method krylov-method

Jan 17 '12 at 15:13 Jed Brown 24.8k

votes

answer

676

views

What is the current state of polynomial preconditioners?

iterative-method preconditioning krylov-method

Dec 19 '12 at 13:59 shuhalo 3,350

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answer

views

How is Krylov-accelerated Multigrid (using MG as a preconditioner) motivated?

linear-algebra linear-solver multigrid krylov-method

Mar 14 at 18:28 Patrick Sanan 808

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answers

975

views

Impose the compatibility conditions for mixed finite elements method in Stokes equation

finite-element

Sep 15 '12 at 15:51 shuhalo 3,350

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answers

views

Understanding the cost of adjoint method for pde-constrained optimization

optimization pde

Jul 25 '14 at 20:43 Geoff Oxberry 29.2k

votes

answer

908

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Smallest eigenvalue without inverse

linear-algebra eigensystem eigenvalues iterative-method

Jan 4 '16 at 18:08 Community♦ 1

votes

answer

views

Raviart-Thomas elements on reference square

pde finite-element

Jun 11 '16 at 15:19 Christian Clason 11.6k

votes

answers

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How to construct a prolongation and restriction operator for an algebraic multigrid solver?

linear-algebra multigrid

Feb 13 '12 at 14:34 Community♦ 1

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312

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Iterative “solver” for $x^t \Sigma^{-1} x$

linear-algebra numerical-analysis iterative-method

Oct 13 '15 at 19:43 Wolfgang Bangerth 46.3k

votes

answer

877

views

MPI policy for multiple asynchronous transfers

parallel-computing software mpi

Aug 4 '13 at 15:17 Jed Brown 24.8k

votes

answer

415

views

$L^2$-error in FEM: how to compute integral over reference element?

finite-element error-estimation l2-norm

Dec 16 '16 at 18:52 wrong_path 394

votes

answer

265

views

Is PETSc's DMDA relying on undefined behavior?

petsc

Oct 4 '13 at 14:56 Jed Brown 24.8k

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answer

580

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Numerical integration with singularities

quadrature scipy

Sep 10 '15 at 16:46 Kirill 11.2k

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21 Bookmarks

What makes Fortran fast?

How does the MATLAB backslash operator solve $Ax=b$ for square matrices?

Modern resources for learning FEM

Are there any famous problems/algorithms in scientific computing that cannot be sped up by parallelisation

Why is my iterative linear solver not converging?

What is pseudo time-stepping?

Portable multicore/NUMA memory allocation/initialization best practices

What is the advantage of multigrid over domain decomposition preconditioners, and vice versa?

Can a Krylov subspace method be used as a smoother for multigrid?

What is the current state of polynomial preconditioners?

How is Krylov-accelerated Multigrid (using MG as a preconditioner) motivated?

Impose the compatibility conditions for mixed finite elements method in Stokes equation

Understanding the cost of adjoint method for pde-constrained optimization

Smallest eigenvalue without inverse

Raviart-Thomas elements on reference square

How to construct a prolongation and restriction operator for an algebraic multigrid solver?

Iterative “solver” for $x^t \Sigma^{-1} x$

MPI policy for multiple asynchronous transfers

$L^2$-error in FEM: how to compute integral over reference element?

Is PETSc's DMDA relying on undefined behavior?

Numerical integration with singularities