Weak formulation

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Example 2: Poisson's equation

Poisson's equation Boundary Differentiable functions Integration by parts Green's identity

9 related topics

The Lax–Milgram theorem

Coercive Real parts Eigenvalues Poincaré inequality Cauchy–Schwarz inequality

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General concept

Banach space Dual space Linear map Bilinear form

4 related topics

Example 1: linear system of equations

Linear mapping Inner product Basis vectors Matrix

4 related topics

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Overview

Equations Equation
Linear algebra
Partial differential equations Partial differential equation
Weak solutions Weak solution
Test functions Test function
Peter Lax
Arthur Milgram
Hilbert spaces Hilbert space

General concept

Example 1: linear system of equations

Linear mapping
Inner product
Basis vectors Basis vector
Matrix Matrix (mathematics)

Example 2: Poisson's equation

Poisson's equation
Boundary Boundary (topology)
Differentiable functions Differentiable function
Integration by parts
Green's identity Green's identities
Functions Function (mathematics)
Derivatives Derivative
Sobolev space
Weak derivatives Weak derivative

The Lax–Milgram theorem

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Nodes36

Edges35

Triples4

Avg. degree1.94

Density0.055556

Components1

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