Semi-Lagrangian Discontinuous Galerkin Schemes for Some First and Second Order Partial Differential Equations

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Discontinuous Galerkin Methods for Partial Differential Equations

Day 1: Monday, September 26, 2011 Hybridized DG Method and Mimetic Finite Differences Franco Brezzi IUSS and IMATI-CNR, Pavia Via Ferrata 1, 27100 Pavia [email protected] Abstract: The talk will discuss the relationships between certain variants of Mimetic Finite Differences and the Hybridized version of DG methods for some very simple model problem. The talk will discuss the relationships be...

A Semi-lagrangian Discontinuous Galerkin Superconvergence

We show a superconvergence property for the Semi-Lagrangian Discontinuous Galerkin scheme of arbitrary degree in the case of constant linear advection equation with periodic boundary conditions.

First-Order Singular and Discontinuous Differential Equations

A Discontinuous Galerkin Method for Higher-order Differential Equations

In this paper we propose a new discontinuous finite element method for higher-order initial value problems where the finite element solution exhibits an optimal O(∆tp+1) convergence rate in the L2 norm. We further show that the p-degree discontinuous solution of differential equation of order m and its first m−1 derivatives are O(∆t2p+2−m) superconvergent at the end of each step. We also establ...