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Titlebook: An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases; Analysis, Algorithms Francis X. Giraldo Textbook 2020 The Editor

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https://doi.org/10.1007/978-3-322-83873-5c equations. We rely heavily on the theory that we have already presented in Ch. . on interpolation and in Ch. . on numerical integration. We only consider scalar equations in this chapter and extend the implementation of the DG method to systems of nonlinear partial differential equations in Ch. ..
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Analyse der Markt- und Positionssituation,fy the discussion we focus on two dimensions. This chapter focuses on the discretization of scalar elliptic problems (e.g., Poisson problem) using the local discontinuous Galerkin (LDG) method. We reserve the symmetric interior penalty Galerkin (SIPG) method for Ch. ..
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1D Discontinuous Galerkin Methods for Hyperbolic Equationsc equations. We rely heavily on the theory that we have already presented in Ch. . on interpolation and in Ch. . on numerical integration. We only consider scalar equations in this chapter and extend the implementation of the DG method to systems of nonlinear partial differential equations in Ch. ..
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1D Unified Continuous and Discontinuous Galerkin Methods for Systems of Hyperbolic Equationse observed. In this chapter, we construct these methods in a unified way so that they can co-exist within the same piece of software. In order to achieve this unification of CG and DG requires analyzing the storage of the methods; this is the objective of Sec. 7.2.
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2D Discontinuous Galerkin Methods for Elliptic Equationsfy the discussion we focus on two dimensions. This chapter focuses on the discretization of scalar elliptic problems (e.g., Poisson problem) using the local discontinuous Galerkin (LDG) method. We reserve the symmetric interior penalty Galerkin (SIPG) method for Ch. ..
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2D Unified Continuous and Discontinuous Galerkin Methods for Elliptic Equationsoperator using the so-called .. In Chs. . and . for the DG method we did not use the simpler primal formulation but rather wrote the second order operator as a system of first order operators and then used the local discontinuous Galerkin (LDG) method.
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