Results 41 to 50 of about 82 (70)

A parallel Newton multigrid method for high order finite elements and its application on numerical existence proofs for elliptic boundary value equations

, 1996
. We describe a parallel algorithm for the numerical computation of guaranteed bounds for solutions of elliptic boundary value equations of second order.
Wieners, Christian, Christian Wieners
core  

A Nash-Game Approach to Elliptic Cauchy Data Completion with Robust Error Bounds in Practical Noisy Regimes

This paper presents a Nash game formulation for solving the ill-posed Cauchy problem associated with Laplace’s equation. The data completion task is recast as a two-player static game, where each player controls a virtual Dirichlet condition on the ...
Saber Amdouni, Amel Ben Abda, Elyes Ahmed   +2 more
core   +1 more source

A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem. [PDF]

J Inequal Appl, 2017
Xia H, Luo Z.
europepmc   +1 more source

Superconvergent Finite Element Methods on a Shishkin Mesh for Convection-Diffusion Problems

, 2007
. In this work, the bilinear finite element method on a Shishkin mesh for convection-diffusion problems is analyzed in the two-dimensional setting. A superconvergent rate O(N \Gamma2 ln 2 N + N \Gamma3=2 ) in a discrete ffl-weighted energy norm is ...
Zhimin Zhang
core  

Adaptive Morley element algorithms for the biharmonic eigenvalue problem. [PDF]

J Inequal Appl, 2018
Li H, Yang Y.
europepmc   +1 more source

On the solvability of a nonlinear discrete problem corresponding to a higher-order finite volume approximation in 2D

, 1999
When studying non-linear (higher order MUSCL type) finite volume approximation of a linear convection diffusion problem, one is confronted with a question whether the corresponding nonlinear discrete problem is solvable. In this contribution we note that
Mirko Rokyta
core  

A POSTERIORI ERROR ANALYSIS OF TWO STAGE COMPUTATION METHODS WITH APPLICATION TO EFFICIENT DISCRETIZATION AND THE PARAREAL ALGORITHM. [PDF]

SIAM J Numer Anal, 2016
Chaudhry JH, Estep D, Tavener S, Carey V, Sandelin J.   +4 more
europepmc   +1 more source

On the ROF Model in Rectilinear Anisotropy: Piecewise Constant Approximation and Universal Minimality. [PDF]

Appl Math Optim
Kirisits C, Setterqvist E.
europepmc   +1 more source

Super-localized orthogonal decomposition for convection-dominated diffusion problems. [PDF]

BIT Numer Math
Bonizzoni F, Freese P, Peterseim D.
europepmc   +1 more source

Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport. [PDF]

J Sci Comput
Houston P, Hubbard ME, Radley TJ, Sutton OJ, Widdowson RSJ.   +4 more
europepmc   +1 more source