MINRES for Second-Order PDEs with Singular Data

DOI10.1137/21M1457023zbMath1491.65136arXiv2111.00103OpenAlexW3209915062WikidataQ114073948 ScholiaQ114073948MaRDI QIDQ5864674

Thomas Führer, Norbert Heuer, Michael Karkulik

Publication date: 8 June 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.00103

zbMATH Keywords

least-squares methodminimum residual methodsingular datadiscontinuous Petrov-Galerkin method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Interpolation operator on negative Sobolev spaces ⋮ A DPG method for the quad-curl problem ⋮ Interpolation operators for parabolic problems ⋮ Minimal residual methods in negative or fractional Sobolev norms

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