Definition of Biharmonic. Meaning of Biharmonic. Synonyms of Biharmonic

Here you will find one or more explanations in English for the word Biharmonic. Also in the bottom left of the page several parts of wikipedia pages related to the word Biharmonic and, of course, Biharmonic synonyms and on the right images related to the word Biharmonic.

Definition of Biharmonic

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Meaning of Biharmonic from wikipedia

- In mathematics, the biharmonic equation is a fourth-order partial differential equation which arises in areas of continuum mechanics, including linear...
- In the mathematical field of differential geometry, a biharmonic map is a map between Riemannian or pseudo-Riemannian manifolds which satisfies a certain...
- the screened Poisson equation is given by the Bessel potential. For the Biharmonic equation, [ − Δ 2 ] Φ ( x , x ′ ) = δ ( x − x ′ ) {\displaystyle [-\Delta...
- A biharmonic Bézier surface is a smooth polynomial surface which conforms to the biharmonic equation and has the same formulations as a Bézier surface...
- 1029/jb076i008p01905. Hardy, R.L. (1990). "Theory and applications of the multiquadric-biharmonic method, 20 years of Discovery, 1968 1988". Comp. Math Applic. 19 (8/9):...
- ∇ 4 u = 0 {\displaystyle \nabla ^{4}\mathbf {u} =0} which is just the biharmonic equation in u {\displaystyle \mathbf {u} \,\!} . In this case, the surface...
- heat equation, wave equation, Laplace equation, Helmholtz equation and biharmonic equation. The analytical method of separation of variables for solving...
- a by-product, Chen proposed his longstanding biharmonic conjecture in 1991 stating that any biharmonic submanifold in a Euclidean space must be a minimal...
- \nabla ^{4}\psi =0} or Δ 2 ψ = 0 {\displaystyle \Delta ^{2}\psi =0} (biharmonic equation) Δ {\displaystyle \Delta } is the Laplacian operator in two dimensions...
- Occupation Mathematician Scientific career Thesis Numerical Analysis of Biharmonic Operators with Hybrid Finite Element Method  (1975) Doctoral advisor Franco...