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19 Questions

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views

What is the worst case complexity of Conjugate Gradient?

conjugate-gradient

Mar 21 '16 at 17:19 fred 1,000

votes

answer

151

views

What are some ideas to preprocess / precondition the following linear system?

Jul 25 '17 at 10:02 H. Rittich 538

votes

answers

139

views

Do practice and theory differ substantially when implementing Neumann Boundary Conditions using a Mixed Method?

finite-element boundary-conditions reference-request

Nov 16 '17 at 2:40 fred 1,000

votes

answers

126

views

What strategies / decompositions would be useful to solve the following linear system repeatedly if I only care about time to solution?

linear-algebra linear-solver eigensystem block-decomposition

Oct 15 '15 at 3:23 fred 1,000

votes

answer

271

views

Do the class of PDEs that lack initial conditions have a name?

pde boundary-conditions hyperbolic-pde parabolic-pde

Sep 26 '15 at 21:50 Christian Clason 11.7k

votes

answers

155

views

Stokes Equation in "two-fold saddle point" form?

finite-element navier-stokes elliptic-pde

May 5 '16 at 17:55 fred 1,000

votes

answers

130

views

Does this partial eigen-expansion have a name?

linear-algebra linear-solver eigensystem preconditioning

Oct 24 '15 at 23:39 CommunityBot 1

votes

answer

196

views

What factors are relevant when deciding between GMRES and schur complement solves?

linear-algebra linear-solver gmres

Oct 8 '15 at 13:17 Jesse Chan 2,941

votes

answer

232

views

What is a good way to solve the following linear system? (repeatedly)

linear-algebra linear-solver helmholtz-equation

Oct 5 '15 at 14:32 fred 1,000

votes

answers

422

views

Why does the displacement have to be small to use the infintesimal strain elasticity equations?

finite-element pde solid-mechanics

Jun 11 '20 at 20:06 nicoguaro♦ 7,442

votes

answer

102

views

In mixed elliptic formulation, what are the weakest requirements to ensure the flux is in $H^1$?

finite-element discontinuous-galerkin elliptic-pde

Apr 13 '16 at 18:59 fred 1,000

votes

answers

views

How can I numerically solve a saddle point problem with repeated constraints?

linear-algebra finite-element iterative-method saddlepoint

Jun 27 '17 at 18:15 fred 1,000

votes

answer

views

Solving new linear system that comes from an $p$ enrichment

linear-algebra linear-solver poisson multigrid spectral-method

Nov 9 '15 at 16:18 fred 1,000

votes

answers

259

views

Does Conjugate Residual really have convergence properties similar to that of Conjugate Gradient?

linear-algebra linear-solver iterative-method krylov-method

Oct 28 '15 at 6:59 fred 1,000

votes

answer

140

views

Bounded Input Boundaed Output stability for heat equation. Proof or Counter example?

pde fourier-analysis

Jul 6 '15 at 13:58 fred 1,000

votes

answers

315

views

Sparse Linear Algebra vs Dense Linear Algebra

linear-algebra sparse-matrix blas

Jun 30 '15 at 1:13 fred 1,000

vote

answer

284

views

Raviart Thomas Mixed Finite Element with Mixed boundary conditions reference request

finite-element boundary-conditions elliptic-pde

Nov 17 '17 at 15:14 likask 811

vote

answer

158

views

How can I solve on a computer a large projection problem with redundant constraints?

linear-algebra optimization convex-optimization constrained-optimization quadratic-programming

Jul 5 '17 at 21:27 CommunityBot 1

vote

answer

views

Does a mixed method solve this elliptic pde exactly if the source function is piecewise polynomial?

finite-element elliptic-pde

Jun 7 '16 at 14:27 fred 1,000

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19 Questions

What is the worst case complexity of Conjugate Gradient?

What are some ideas to preprocess / precondition the following linear system?

Do practice and theory differ substantially when implementing Neumann Boundary Conditions using a Mixed Method?

What strategies / decompositions would be useful to solve the following linear system repeatedly if I only care about time to solution?

Do the class of PDEs that lack initial conditions have a name?

Stokes Equation in "two-fold saddle point" form?

Does this partial eigen-expansion have a name?

What factors are relevant when deciding between GMRES and schur complement solves?

What is a good way to solve the following linear system? (repeatedly)

Why does the displacement have to be small to use the infintesimal strain elasticity equations?

In mixed elliptic formulation, what are the weakest requirements to ensure the flux is in $H^1$?

How can I numerically solve a saddle point problem with repeated constraints?

Solving new linear system that comes from an $p$ enrichment

Does Conjugate Residual really have convergence properties similar to that of Conjugate Gradient?

Bounded Input Boundaed Output stability for heat equation. Proof or Counter example?

Sparse Linear Algebra vs Dense Linear Algebra

Raviart Thomas Mixed Finite Element with Mixed boundary conditions reference request

How can I solve on a computer a large projection problem with redundant constraints?

Does a mixed method solve this elliptic pde exactly if the source function is piecewise polynomial?