Cover Image

Implementation techniques for multigrid solvers for high-order Discontinuous Galerkin methods

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Baccas, Sean, Belozerov, Alexander A., Müller, Eike H., Weinzierl, Tobias
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 35J05, 35J55, 65N30, 65N55, 65Y05, 65Y20 G.1.3; G.1.8
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Higher-order Hybridisable Discontinuous Galerkin IMEX method for the incompressible Euler equations
by: Müller, Eike Hermann
Published: (2024)

Vanka-smoothed shifted Laplacian multigrid preconditioners for the Helmholtz equations
by: Yovel, Rachel, et al.
Published: (2025)

A multigrid method for CutFEM and its implementation on GPU
by: Cui, Cu, et al.
Published: (2025)

Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC
by: Sousedík, Bedřich
Published: (2022)

Distributed finite element solution using model order reduction
by: Gustafsson, Tom, et al.
Published: (2024)

Hybrid Nitsche method for distributed computing
by: Gustafsson, Tom, et al.
Published: (2025)

A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
by: Buchholz, Tim, et al.
Published: (2025)

Speeding up an unsteady flow simulation by adaptive BDDC and Krylov subspace recycling
by: Hanek, Martin, et al.
Published: (2024)

A comparative study of efficient multigrid solvers for high-order local discontinuous Galerkin methods: Poisson, elliptic interface, and multiphase Stokes problems
by: Saye, Robert I.
Published: (2024)

A dimension-oblivious domain decomposition method based on space-filling curves
by: Griebel, Michael, et al.
Published: (2021)

Multigrid with Linear Storage Complexity
by: Bauer, Daniel, et al.
Published: (2025)

Scalable Multigrid Solver for the Helmholtz Equation: Real-Shifted Coarse Grid Correction
by: Yovel, Rachel, et al.
Published: (2026)

A Task Parallel Orthonormalization Multigrid Method For Multiphase Elliptic Problems
by: Toprak, Teoman, et al.
Published: (2025)

A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics
by: Burkhart, Andreas, et al.
Published: (2025)

Matrix-Free Parallel Scalable Multilevel Deflation Preconditioning for Heterogeneous Time-Harmonic Wave Problems
by: Chen, Jinqiang, et al.
Published: (2024)

Inexact Gauss Seidel and Coarse Solvers for AMG and s-step CG
by: Thomas, Stephen, et al.
Published: (2025)

Memory- and compute-optimized geometric multigrid GMGPolar for curvilinear coordinate representations -- Applications to fusion plasma
by: Litz, Julian, et al.
Published: (2025)

Parallel matching-based AMG preconditioners for elliptic equations discretized by IgA
by: D'Ambra, Pasqua, et al.
Published: (2025)

A scalable high-order multigrid-FFT Poisson solver for unbounded domains on adaptive multiresolution grids
by: Poncelet, Gilles, et al.
Published: (2025)

A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation
by: Chen, Jinqiang, et al.
Published: (2023)

A robust solver for large-scale heat transfer topology optimization
by: Zhou, Yingjie, et al.
Published: (2024)

$\ell$FEM: An efficient loop-free Matlab implementation of isoparametric bulk and surface finite elements
by: Kovács, Balázs, et al.
Published: (2026)

A matrix-free parallel two-level deflation preconditioner for the two-dimensional Helmholtz problems
by: Chen, Jinqiang, et al.
Published: (2023)

Towards a Multigrid Preconditioner Interpretation of Hierarchical Poincaré-Steklov Solvers
by: Lorca, J. P. Lucero
Published: (2025)

Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton--Jacobi--Bellman equations
by: Smears, Iain
Published: (2014)

A divergence-free projection method for quasiperiodic photonic crystals in three dimensions
by: Gao, Zixuan, et al.
Published: (2024)

Coarse spaces for non-symmetric two-level preconditioners based on local extended generalized eigenproblems
by: Nataf, Frédéric, et al.
Published: (2024)

A multigrid reduction framework for domains with symmetries
by: Alsalti-Baldellou, Àdel, et al.
Published: (2024)

Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis
by: Sakakibara, Koya
Published: (2024)

Towards Matrix-Free Patch Smoothers for the Stokes Problem: Evaluating Local p-Multigrid Solvers
by: Wichrowski, Michał
Published: (2026)

Optimal Polynomial Smoothers for Parallel AMG
by: D'Ambra, Pasqua, et al.
Published: (2024)

An adaptive Newton-based free-boundary Grad-Shafranov solver
by: Serino, Daniel A., et al.
Published: (2024)

Fast solvers for the high-order FEM simplicial de Rham complex: Extended edition
by: Brubeck, Pablo D., et al.
Published: (2025)

Discontinuous Galerkin method for a three-dimensional coupled fluid-poroelastic model with applications to brain fluid mechanics
by: Fumagalli, Ivan
Published: (2024)

Space-time parallel iterative solvers for the integration of parabolic problems
by: Arrarás, Andrés, et al.
Published: (2025)

Tensor-product vertex patch smoothers for biharmonic problems
by: Witte, Julius, et al.
Published: (2024)

Convergence of a regularized finite element discretization of the two-dimensional Monge-Ampère equation
by: Gallistl, Dietmar, et al.
Published: (2021)

Mortar coupling of $hp$-discontinuous Galerkin and boundary element methods for the Helmholtz equation
by: Erath, Christoph, et al.
Published: (2021)

Mesh-Intrinsic GFEM: High-Order Smoothness on $C^0$ Unstructured Meshes
by: Tian, Rong
Published: (2026)

Trefftz Discontinuous Galerkin approximation of an acoustic waveguide
by: Monk, Peter, et al.
Published: (2024)