GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type
نویسندگان
چکیده
منابع مشابه
Almost Continuous Solutions of Geometric Hamilton–jacobi Equations
– We study the Hamilton–Jacobi equation ut +H(x,Du)= 0 in RN×]0,+∞[, where H is a continuous positively homogeneous Hamiltonian with constant sign and verifying suitable assumptions but no convexity properties. We look for discontinuous (viscosity) solutions verifying certain initial conditions with discontinuous data. Our aim is to give representation formulae as well as uniqueness and stabili...
متن کاملHamilton-Jacobi-Bellman Equations
This work treats Hamilton-Jacobi-Bellman equations. Their relation to several problems in mathematics is presented and an introduction to viscosity solutions is given. The work of several research articles is reviewed, including the Barles-Souganidis convergence argument and the inaugural papers on mean-field games. Original research on numerical methods for Hamilton-Jacobi-Bellman equations is...
متن کاملMixed Finite Element Methods for Hamilton-Jacobi-Bellman Type Equations
The numerical solution of Dirichlet's problem for a second order elliptic operator in divergence form with arbitrary nonlinearities in the rst and zero order terms is considered. The mixed nite element method is used. Existence and uniqueness of the approximation are proved and optimal error estimates in L are demonstrated for the relevant functions. Error estimates are also derived in L, 2 q +...
متن کاملHypercontractivity of Hamilton–jacobi Equations
– Following the equivalence between logarithmic Sobolev inequalities and hypercontractivity showed by L. Gross, we prove that logarithmic Sobolev inequalities are related similarly to hypercontractivity of solutions of Hamilton–Jacobi equations. By the infimum-convolution description of the Hamilton–Jacobi solutions, this approach provides a clear view of the connection between logarithmic Sobo...
متن کاملOptics, Mechanics and Hamilton-Jacobi Skeletons
In an effort to articulate models for the intuitive representation and manipulation of 2D and 3D forms, Blum (1967, 1973) invented the notion of a skeleton. His insight was to consider a disc as a basic geometric primitive and to use it to describe the reflective symmetries of an object. This representation became very popular in a variety of fields including computer vision, computer aided des...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2002
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2002037