Fast Direct Solvers for Elliptic PDEs

DOI10.1137/1.9781611976045zbMath1447.65003OpenAlexW2995759190MaRDI QIDQ5208921

Per-Gunnar Martinsson

Publication date: 22 January 2020

Full work available at URL: https://doi.org/10.1137/1.9781611976045

zbMATH Keywords

elliptic PDEsfast multipole methodsfast direct solversintegral equation formulationsmodern linear algebraic techniques

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical linear algebra (65Fxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Elliptic equations and elliptic systems (35Jxx)

Related Items (8)

Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries ⋮ Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects ⋮ Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators ⋮ Corrected trapezoidal rules for boundary integral equations in three dimensions ⋮ Quantitative bounds on impedance-to-impedance operators with applications to fast direct solvers for PDEs ⋮ Parallel Skeletonization for Integral Equations in Evolving Multiply-Connected Domains ⋮ Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces ⋮ A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity

This page was built for publication: Fast Direct Solvers for Elliptic PDEs