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The development of discontinuous Galerkin methods


Development of Discontinuous Galerkin Method for Nonlocal Linear ...

In this work, a discontinuous Galerkin formulation for boundary value problems in small strain, non-local linear elasticity is proposed. The underlying theory ...

Discontinuous Galerkin Methods: Analysis and Implementation

This family of numerical techniques, generally referred to as Discontinuous Galerkin Finite. Element Methods (DGFEM), has a long and distinguished history.

central discontinuous galerkin methods on overlapping cells with a ...

average evolution approach of Godunov-type schemes. 3. A Central Discontinuous Galerkin Method on Overlapping Cells for. Conservation Laws. Following the ...

Discontinuous Galerkin methods for Hyperbolic PDEs. Lecture 1

Discontinuous Galerkin methods. A bit of history. A bit of history. Discontinuous Galerkin (DG) methods can be considered as numerical methods ...

Development of Discontinuous Galerkin Method for 1-D Inviscid ...

The main objective of this research work is to apply the discontinuous Galerkin method to a classical partial differential equation to investigate the ...

The Scalar Case with Linear Elements - Global Science Press

In this paper, we reformulate the piecewise linear discontinuous Galerkin (DG) method for solving two dimensional steady state scalar conservation laws in the ...

Review Article Runge–Kutta Discontinuous Galerkin Methods for ...

In this paper, we review the development of the Runge–Kutta discontinuous. Galerkin (RKDG) methods for non-linear convection-dominated problems.

Development of Residual Distribution Schemes for the ...

In this paper, we reformulate the piecewise linear discontinuous Galerkin. (DG) method for solving two dimensional steady state scalar conservation laws in the ...

Development of the discontinuous Galerkin method for high ...

The main objective of this work is the development of this method for tackling scale-resolving simulations of turbomachinery flows. This thesis ...

Development of Higher-Order Discontinuous Galerkin Method for ...

Development of Higher-Order Discontinuous Galerkin Method for the Linearized Euler Equations ; Editors, A. Kempton ; Place of Publication, Reston, VA ; Publisher ...

DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER ...

DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS. F. BREZZI,; L. D. MARINI, and; E. SÜLI.

Discontinuous Galerkin Methods for a Model of Population ...

Discontinuous Galerkin finite element methods in age-time domain are proposed to approximate a possibly nonsmooth solution to the model of population ...

A reconstructed discontinuous Galerkin method for multi-material ...

Discontinuous Galerkin (DG) methods have been well established for single-material hydrodynamics. However, consistent DG discretizations for non-equilibrium ...

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

Significant effort has gone into the development of numerical simulations based on this technique that are both accurate and efficient [3]. Furthermore, through ...

unified analysis of discontinuous galerkin methods for elliptic problems

On the other hand, DG methods for the numerical treatment of non-linear hyperbolic systems ex- perienced a vigorous development during the last ten years due to ...

DIFFERENT FORMULATIONS OF THE DISCONTINUOUS ...

A major development of the discontinuous Galerkin method is carried out by Cockburn, Shu and their collaborators in a series of papers [4, 5, 6, 7], in which.

A Finite Element Model Based on Discontinuous Galerkin Methods ...

A Finite Element Model Based on Discontinuous Galerkin Methods on Moving Grids for Vertebrate Limb Pattern Formation · The local projection -discontinuous- ...

9 The Discontinuous Galerkin Method - Oxford Academic

Abstract. The discontinuous Galerkin method is introduced as a special type of finite-element method in which the solution fields are allowed to be discont.

A Reconstructed Discontinuous Galerkin Method for the Euler ...

In this method, an in-cell reconstruction, designed to enhance the accuracy of the discontinuous Galerkin method, is used to obtain a quadratic polynomial ...

Development of a Discontinuous Galerkin Method for Computational ...

Development of a Discontinuous Galerkin Method for Computational Fluid Dynamics · Add to favorites · Download citation · Track citations. Share.