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bilinear finite element

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  • Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based …   Wikipedia

  • Spectral element method — In mathematics, the spectral element method is a high order finite element method.Introduced in a 1984 paper [A. T. Patera. A spectral element method for fluid dynamics Laminar flow in a channel expansion. Journal of Computational Physics ,… …   Wikipedia

  • Céa's lemma — is a lemma in mathematics. It is an important tool for proving error estimates for the finite element method applied to elliptic partial differential equations. Contents 1 Lemma statement 2 Error estimate in the energy norm 3 …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

  • Galerkin method — In mathematics, in the area of numerical analysis, Galerkin methods are a class of methods for converting a continuous operator problem (such as a differential equation) to a discrete problem. In principle, it is the equivalent of applying the… …   Wikipedia

  • List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

  • Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …   Wikipedia

  • Computational fluid dynamics — Computational physics Numerical analysis  …   Wikipedia

  • Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources …   Wikipedia

  • Babuška-Lax-Milgram theorem — In mathematics, the Babuška Lax Milgram theorem is a generalization of the famous Lax Milgram theorem, which gives conditions under which a bilinear form can be inverted to show the existence and uniqueness of a weak solution to a given boundary… …   Wikipedia

  • Gramian matrix — In linear algebra, the Gramian matrix (or Gram matrix or Gramian) of a set of vectors v 1,dots, v n in an inner product space is the symmetric matrix of inner products, whose entries are given by G {ij}=(v i|v j).An important application is to… …   Wikipedia

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