In this article, we proposed a compact difference-Galerkin spectral method for the fourth-order equation in multi-dimensional space with the time-fractional derivative order α∈(1,2).
Yujie Wang, Shichao Yi
doaj +1 more source
The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
doaj
A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems [PDF]
We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations.
Suli, Endre +3 more
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Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes [PDF]
In this paper we consider the a posteriori and a priori error analysis of discontinuous Galerkin interior penalty methods for second-order partial differential equations with nonnegative characteristic form on anisotropically refined computational meshes.
Hall, Edward +5 more
core
An hr-adaptive discontinuous Galerkin method for advection-diffusion problems [PDF]
We propose an adaptive mesh refinement strategy based on exploiting a combination of a pre-processing mesh re-distribution algorithm employing a harmonic mapping technique, and standard (isotropic) mesh subdivision for discontinuous Galerkin ...
Antonietti, Paola F., Houston, Paul
core
Semi-analytical Galerkin modeling of glucose transport and reaction in glucose oxidase-immobilized SBA-15 mesoporous silica. [PDF]
Nair JJ, Praveen T.
europepmc +1 more source
Element-Free Galerkin Method for Analyzing Size-Dependent Thermally Induced Free Vibration Characteristics of Functionally Graded Magneto-Electro-Elastic Doubly Curved Microscale Shells. [PDF]
Wu CP, Liu MJ.
europepmc +1 more source
Attenuation of higher-order acoustic modes in a cylindrical waveguide using lined panel-cavity coupling. [PDF]
Alrashdi A +4 more
europepmc +1 more source
Modeling and analysis of stochastic quantum magnetohydrodynamics equations with energy estimates. [PDF]
Divyabala K, Durga N.
europepmc +1 more source

