Ishii, Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls, Ann. Inst. H. Poincar´e Anal. Non Linaire 29 (2012), no. 5, 783-812.N. Ikoma and H. Ishii, Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls, II. submitted....
Approximation of PDE eigenvalue problems involving parameter dependent matricesPartial differential equationsEigenvalue problemParameter dependent matricesVirtual element methodPolygonal meshesWe discuss the solution of eigenvalue problems associated with partial differential equations that can be written in the ...
EigenvalueSolve a PDE eigenvalue problem.Syntaxmodel.sol(sname).create(fname,"Eigenvalue")model.sol(sname).feature(fname).set(pname,value)model.sol(sname).feature(fname).create(fname2,LinearType)model.sol(sname).feature(fname).create(fname2,"Advanced")...
EigenvalueGradientOptical Fiber DesignWhen trying to fit data to functions of the eigensystem of a pde-eigenvalue problem, such as Maxwell's equation, numerical differentiation is ineffective and analytic gradients must be supplied. In our motivating example of trying to determine the chemic......
we prove the existence of at least two weak solutions via the Nehari manifold technique to a class of subelliptic singular problems associated with the fractionalp-sub-Laplacian on stratified Lie groups. We also investigate the boundedness of positive weak solutions to the considered problem via the...
J. YU et al., “Gradient-Enhanced Physics-Informed Neural Networks for Forward and Inverse PDE Problems,” Comput. Methods Appl. Mech. Eng., 393, 114823 (2022); https://doi.org/10.1016/j.cma.2022.114823. (Open in a new window)Web of Science ®(Open in a new window)Google Scholar...
and integral equation methods (including some basic corner handling), for the efficient and often spectrally-accurate solution of Laplace eigenvalue problems, interior/exterior Helmholtz boundary-value problems (e.g. wave scattering), periodic diffraction problems, and related PDE problems, on piecewise...
Vote 0 Link Hello, I need your help to solve this eigenvalue problem using pdetool but I can't found exactly this form when I choose eigenmode in pde. 0 Comments Sign in to comment. Sign in to answer this question.Answers (0) Sign...
We consider the problem of finding a real number λ and a function u satisfying the PDE Here f is a convex, superlinear function. We prove that there is a unique λ* such that the above PDE has a viscosity solution u satisfying . Moreover, we show that associated to λ* is a conve...
However, there is a difference between initial-value problems and boundary value problems that is an initial-value problem has a unique solution while a boundary value problem can have more than one solution or no solution. The chapter discusses how the eigenvalues and eigenfunctions are found. ...