Fast tensor-product solvers: partially deformed three-dimensional domains

DOI10.1007/s10915-008-9246-0zbMath1203.65234OpenAlexW2078359384MaRDI QIDQ618328

Tormod Bjøntegaard, Yvon Maday, Einar M. Rønquist

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9246-0

zbMATH Keywords

partial differential equationparallel algorithmfast solvertensor-product

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains: parallel implementation, Modified nodal cubic spline collocation for three-dimensional variable coefficient second-order partial differential equations, Unnamed Item, Matrix decomposition algorithms for elliptic boundary value problems: A survey, Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique

Cites Work

• Unnamed Item
• Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains
• Parallel spectral-element-Fourier simulation of turbulent flow over riblet-mounted surfaces
• Spectral approximation for elliptic boundary value problems
• Three-dimensional stability analysis of free surface flows: Application to forward deformable roll coating
• A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations
• An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
• An efficient direct parallel spectral-element solver for separable elliptic problems
• Direct solution of partial difference equations by tensor product methods
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Timely Communication: Efficient Algorithms for Solving a Fourth-Order Equation with the Spectral-Galerkin Method
• Nonlinear dynamics and pattern formation in turbulent wake transition