Zobrazeno 1 - 10
of 101
pro vyhledávání: '"65M60, 65M15"'
Autor:
Pervolianakis, Christos
We consider a scalar conservation law with linear and nonlinear flux function on a bounded domain $\Omega\subset{\R}^2$ with Lipschitz boundary $\partial\Omega.$ We discretize the spatial variable with the standard finite element method where we use
Externí odkaz:
http://arxiv.org/abs/2409.18606
We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part implicitly, we obtain a method which is not only unconditionally stable bu
Externí odkaz:
http://arxiv.org/abs/2406.19889
Autor:
Akram, Wasim
In this article, we explore the feedback stabilization of a viscous Burgers equation around a non-constant steady state using localized interior controls and then develop error estimates for the stabilized system using finite element method. The syst
Externí odkaz:
http://arxiv.org/abs/2406.01553
Autor:
Gómez, Sergio, Meliani, Mostafa
We discuss the asymptotic-preserving properties of a hybridizable discontinuous Galerkin method for the Westervelt model of ultrasound waves. More precisely, we show that the proposed method is robust with respect to small values of the sound diffusi
Externí odkaz:
http://arxiv.org/abs/2405.03535
We propose, analyze, and test new robust iterative solvers for systems of linear algebraic equations arising from the space-time finite element discretization of reduced optimality systems defining the approximate solution of hyperbolic distributed,
Externí odkaz:
http://arxiv.org/abs/2404.03756
This work considers the nodal finite element approximation of peridynamics, in which the nodal displacements satisfy the peridynamics equation at each mesh node. For the nonlinear bond-based peridynamics model, it is shown that, under the suitable as
Externí odkaz:
http://arxiv.org/abs/2403.05501
Autor:
Bignardi, Paolo, Moiola, Andrea
We propose a new space-time variational formulation for wave equation initial-boundary value problems. The key property is that the formulation is coercive (sign-definite) and continuous in a norm stronger than $H^1(Q)$, $Q$ being the space-time cyli
Externí odkaz:
http://arxiv.org/abs/2312.07268
Autor:
Vexler, Boris, Wagner, Jakob
In this work we consider the two dimensional instationary Navier-Stokes equations with homogeneous Dirichlet/no-slip boundary conditions. We show error estimates for the fully discrete problem, where a discontinuous Galerkin method in time and inf-su
Externí odkaz:
http://arxiv.org/abs/2307.14217
Autor:
Zhou, Han, Tian, Wenyi
Publikováno v:
Journal of Scientific Computing, 98(2), 50 (2024)
In this work, two Crank-Nicolson schemes without corrections are developed for sub-diffusion equations. First, we propose a Crank-Nicolson scheme without correction for problems with regularity assumptions only on the source term. Second, since the e
Externí odkaz:
http://arxiv.org/abs/2305.06138
Exponential decay estimates of a general linear weakly damped wave equation are studied with decay rate lying in a range. Based on the $C^0$-conforming finite element method to discretize spatial variables keeping temporal variable continuous, a semi
Externí odkaz:
http://arxiv.org/abs/2302.12476