A symmetric coercive bilinear form a defines the energy norm ∥v∥a=a(v,v). In this norm the Ritz method is an orthogonal projection onto its finite-dimensional trial space.
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- Rayleigh-Ritz method
- Finite element method
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- Aubin–Nitsche duality argument
- Céa's lemma
- Coarse-grid correction
- Energy-norm proof of convergence of SOR
- Finite element mesh
- Finite element method
- Finite element solution of the one-dimensional Poisson equation
- Finite termination of the conjugate gradient method
- Galerkin orthogonality
- Gauss-Seidel energy decrease identity
- Krylov subspace method
- Matrix norm induced by an energy norm
- Negative-energy direction gives exponential growth in a self-adjoint wave equation
- Ordinary-derivative Robin data in a weighted energy form
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- Petrov-Galerkin method
- Preconditioned steepest descent
- Ritz-Galerkin equivalence for a symmetric coercive form
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