Cover Image

Quasi-optimal complexity $hp$-FEM for the Poisson Equation on a rectangle

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Knook, Kars, Olver, Sheehan, Papadopoulos, Ioannis P. A.
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A sparse hierarchical $hp$-finite element method on disks and annuli
by: Papadopoulos, Ioannis P. A., et al.
Published: (2024)

A sparse spectral method for fractional differential equations in one-spatial dimension
by: Papadopoulos, Ioannis P. A., et al.
Published: (2022)

Hierarchical proximal Galerkin: a fast $hp$-FEM solver for variational problems with pointwise inequality constraints
by: Papadopoulos, Ioannis P. A.
Published: (2024)

Newtonian potentials of Legendre polynomials on rectangles have displacement structure
by: Olver, Sheehan
Published: (2025)

A frame approach for equations involving the fractional Laplacian
by: Papadopoulos, Ioannis P. A., et al.
Published: (2023)

Orthogonal polynomials for the de Rham complex on the disk and cylinder
by: Olver, Sheehan
Published: (2026)

Shifted HSS solvers for the indefinite Helmholtz equation
by: Cotter, Colin J, et al.
Published: (2025)

An implementation of hp-FEM for the fractional Laplacian
by: Bahr, Björn, et al.
Published: (2024)

A sparse $hp$-finite element method for piecewise-smooth differential equations with periodic boundary conditions
by: VandenHeuvel, Daniel, et al.
Published: (2025)

Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity
by: Papadopoulos, Ioannis P. A.
Published: (2022)

Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian on cuboids
by: Bahr, Björn, et al.
Published: (2026)

Parallelisation of partial differential equations via representation theory
by: Olver, Sheehan
Published: (2024)

Representations of the symmetric group are decomposable in polynomial time
by: Olver, Sheehan
Published: (2022)

Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D
by: Faustmann, Markus, et al.
Published: (2022)

Preconditioners for the Onsager-Stefan-Maxwell equations for multicomponent diffusion
by: Knook, Kars, et al.
Published: (2026)

Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli
by: Papadopoulos, Ioannis P. A., et al.
Published: (2023)

The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect
by: Galkowski, Jeffrey, et al.
Published: (2022)

$hp$-FEM for Elastoplasticity & $hp$-Adaptivity Based on Local Error Reductions
by: Bammer, Patrick
Published: (2024)

A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle
by: Gutleb, Timon S., et al.
Published: (2019)

$hp$-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs
by: Innerberger, Michael, et al.
Published: (2022)

Wavenumber-explicit $hp$-FEM analysis of Maxwell's equations with impedance boundary conditions in piecewise smooth media
by: Melenk, Jens Markus, et al.
Published: (2026)

$hp$-FEM for the fractional heat equation
by: Melenk, Jens Markus, et al.
Published: (2019)

Computing Inverses of Stieltjes Transforms of Probability Measures
by: Chen, James, et al.
Published: (2024)

The FEM approach to the 2D Poisson equation in 'meshes' optimized with the Metropolis algorithm
by: Kosinska, Ilona Dominika
Published: (2010)

CEM-GMsFEM for Poisson equations in heterogeneous perforated domains
by: Xie, Wei, et al.
Published: (2024)

Unconditional full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs
by: Miraçi, Ani, et al.
Published: (2024)

Gradient Flow Finite Element Discretisations with Energy-Based $hp$-Adaptivity for the Gross-Pitaevskii Equation with Angular Momentum
by: Heid, Pascal, et al.
Published: (2024)

Exponential Convergence of $hp$ FEM for Spectral Fractional Diffusion in Polygons
by: Banjai, Lehel, et al.
Published: (2020)

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies
by: Averseng, Martin, et al.
Published: (2023)

Localized Orthogonal Decomposition Methods vs. Classical FEM for the Gross-Pitaevskii Equation
by: Döding, Christian
Published: (2024)

Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs
by: Bringmann, Philipp, et al.
Published: (2023)

Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs
by: Brunner, Maximilian, et al.
Published: (2024)

Error estimates of $hp$-finite element method for elliptic optimal control problems with robin boundary
by: Lin, Xingyuan, et al.
Published: (2026)

$hp$-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains
by: Banjai, Lehel, et al.
Published: (2020)

An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM
by: Melenk, Jens Markus, et al.
Published: (2022)

p and hp Spectral Element Methods for Elliptic Boundary Layer Problems
by: Husain, Akhlaq, et al.
Published: (2024)

Non-uniform $α$-Robust Alikhanov Mixed FEM with Optimal Convergence for the Time-Fractional Allen--Cahn Equation
by: Jha, Abhinav, et al.
Published: (2026)

An $hp$-adaptive discontinuous Galerkin discretization of a static anti-plane shear crack model
by: Manohar, Ram, et al.
Published: (2024)

A posteriori error estimates for a modified Morley FEM
by: Dond, A. K., et al.
Published: (2026)

$hp$-a posteriori error estimates for hybrid high-order methods applied to biharmonic problems
by: Dong, Zhaonan, et al.
Published: (2026)