A space|time Petrov|Galerkin method for the two|dimensional ...

A space-time Petrov-Galerkin method for the two-dimensional ...

In this work, a space-time Petrov-Galerkin (STPG) method is used to numerically analyze the two-dimensional regularized long-wave (RLW) equation ...

A space-time Petrov-Galerkin method for the two-dimensional ...

Abstract. In this work, a space-time Petrov-Galerkin (STPG) method is used to numerically analyze the two-dimensional regularized long-wave (RLW) equation. The ...

A space-time Petrov-Galerkin method for the two-dimensional ...

AbstractIn this work, a space-time Petrov-Galerkin (STPG) method is used to numerically analyze the two-dimensional regularized long-wave ...

A space-time Petrov-Galerkin method for the two-dimensional ...

Download Citation | On Apr 1, 2024, Zhihui Zhao and others published A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave ...

A spacetime discontinuous Galerkin method for the two-dimensional ...

... time direction, as well as in space. Both these methods are respective modifications of the standard Galerkin finite element method (SGM). In this paper ...

Petrov—Galerkin method for multidimensional, time‐dependent ...

A Petrov—Galerkin finite element method for two and three-dimensional time dependent convection-diffusion equations is presented in the context of two space ...

A space-time spectral Petrov-Galerkin spectral method for time ...

However, the pro- posed method and analysis can be directly extended to the multi-dimensional case with rectangular domains thanks to the Fourier-like basis ...

A space–time discontinuous Galerkin method for the solution of the ...

Regarding the wave equation, there are two basic solution concepts. One approach is to deal directly with the second order problem in the sense of a single ...

[2012.06073] Windowed space-time least-squares Petrov-Galerkin ...

WST-LSPG is equipped with hyper-reduction techniques to further reduce the computational cost. Numerical experiments for the one-dimensional ...

A Space-Time Petrov--Galerkin Certified Reduced Basis Method

Raviart, Finite dimensional approximation of nonlinear problems. Part I: Branches of nonsingular solutions, Numer. Math., 36 (1980), pp. 1--25. Crossref.

A Space-Time Petrov--Galerkin Certified Reduced Basis Method

In general, there are two approaches for the reduced basis methods applied to unsteady problems: (1) first discretize, then estimate and reduce, (2) first ...

Deep Petrov-Galerkin Method for Solving Partial Differential Equations

In addition, we apply the DPGM to solve two classical time-dependent problems based on the space-time approach, that is, the unknown function ...

a class of discontinuous petrov-galerkin methods. part ii: optimal test ...

If, however, the inflow boundary contains two edges, the corresponding test space is enriched with piece- wise polynomial test functions, the same way as for ...

Alternating Direction Implicit Galerkin Finite Element Method for the ...

Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation ... time and in the L2 L 2 norm in space.

Petrov-Galerkin and Discontinuous-Galerkin Methods for ... - UTC

For this case, the governing equations are the two-dimensional time-harmonic versions of Maxwell's equations assuming an electric field transverse to the z- ...

Bernstein dual-Petrov–Galerkin method: application to 2D time ...

Deng W (2008) Finite element method for the space and time fractional Fokker–Planck equation. ... finite element method for two-dimensional time fractional ...

4. A space-time DPG method for the wave equation in multiple ...

A space-time discontinuous Petrov-Galerkin (DPG) method for the linear wave equation is presented. This method is based on a weak formulation that uses a broken ...

Petrov-Galerkin method for multidimensional, time-dependent ...

... dimensional time dependent convection-diffusion equations is presented in the context of two space dimensions. The method involves perturbed weighting ...

A space discontinuous Galerkin method for the one-dimensional ...

A space discontinuous Galerkin method, which is called streamline diffusion method (SDM), is applied to compute the convection-diffusion equation, when the.

Discontinuous Galerkin methods for stochastic Maxwell equations ...

In this paper we propose and analyze finite element discontinuous Galerkin methods for the one- and two-dimensional stochastic Maxwell equations with ...