Results 51 to 60 of about 12,638,036 (224)

High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling [PDF]

, 2014
Copyright @ 2014 The Authors. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.We revisit a method ...
Mark P Brewin, Shuhua Hu, Simon Shaw, Carola Kruse, Birch, MJ, Zackary R Kenz, Kruse, C, Brewin, MP, John R Whiteman, Maischak, M, Banks, HT, Malcolm J Birch, H. T. Banks, Stephen E Greenwald, Greenwald, SE, Kenz, ZR, Matthias Maischak, Whiteman, JR, Hu, S, Shaw, S   +19 more
core   +1 more source

Consistent local projection stabilized finite element methods [PDF]

, 2010
This work establishes a formal derivation of local projection stabilized methods as a result of an enriched Petrov-Galerkin strategy for the Stokes problem.
Barrenechea, Gabriel, Gabriel R. Barrenechea, Frédéric Valentin, Valentin, Frédéric   +3 more
core   +3 more sources

Revealing the Resonant Physics of Open Photonic Time Crystals

Laser &Photonics Reviews, EarlyView.
ABSTRACT Photonic time crystals (PTCs) are media whose permittivity is modulated periodically in time, enabling momentum bandgaps and parametric amplification of light. Their realization at the nanoscale can revolutionize the study of light‐matter interactions.
Adrià Canós Valero, Sergei Gladyshev, David Globosits, Stefan Rotter, Egor A. Muljarov, Thomas Weiss   +5 more
wiley   +1 more source

Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]

, 2008
After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core  

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

A multilevel discontinuous Galerkin method [PDF]

Numerische Mathematik, 2003
With extended references to the major papers on the subject, this work analyzes mathematically multigrid techniques for two discontinuous Galerkin methods: one for elliptic problems and a second one for singular perturbed advection-diffusion problems. In the former case, the analysis predicts convergence rates of the multigrid method independent of the
Jay Gopalakrishnan, Guido Kanschat
openaire   +4 more sources

On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]

, 2012
This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT, Chapman, John Robert   +1 more
core  

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos, André Fellipe Ribeiro de Almeida, Manoel Jeremias Dos Santos, Carlos Alberto da Silva Nonato   +3 more
wiley   +1 more source

An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
wiley   +1 more source

The Dual Characteristic-Galerkin Method

Comptes Rendus. Mathématique
The Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and L 2 -stability in the case ...
Hecht, Frédéric, Pironneau, Olivier
openaire   +5 more sources