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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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases978-3-030-55069-1Series ISSN 1611-0994 Series E-ISSN 2197-179X

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https://doi.org/10.1007/978-3-662-26063-0the choices that we have at our disposal. We can categorize the possible methods as follows: .Generally speaking, the most widely used differential form method is the finite difference method while the most widely used integral form method is the Galerkin method (e.g., finite elements).

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https://doi.org/10.1007/978-3-322-87118-3onservation laws for both CG and DG. However, these types of equations are entirely hyperbolic (first order equations in these cases). In this chapter we learn how to use the CG method to discretize second order equations that are elliptic.

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1611-0994 s. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, includingboth scalar PDEs and systems of equations..978-3-030-55071-4978-3-030-55069-1Series ISSN 1611-0994 Series E-ISSN 2197-179X

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1611-0994 r understand the material clearly and assists them in buildi.This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration