Keywords: معادله Biharmonic; Meshfree method; Finite pointset method (FPM); Biharmonic equation; Weighted Least Squares method;
مقالات ISI معادله Biharmonic (ترجمه نشده)
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Keywords: معادله Biharmonic; Biharmonic equation; Singularity; Asymptotic behavior;
Keywords: معادله Biharmonic; Isogeometric analysis; C1-smooth isogeometric functions; Geometrically continuous isogeometric functions; Multi-patch domain; Biharmonic equation;
Keywords: معادله Biharmonic; Biharmonic equation; Entire solution; Asymptotic behavior; Nonexistence
Keywords: معادله Biharmonic; Biharmonic equation; Meshless method; Moving kriging interpolation; Thin plate bending problems
Keywords: معادله Biharmonic; Biharmonic equation; Stability estimates; Inverse problems; Calderón problem
Keywords: معادله Biharmonic; Isogeometric analysis; Geometric continuity; Geometrically continuous isogeometric functions; Biharmonic equation; Multi-patch domain
Keywords: معادله Biharmonic; Inverse Cauchy problem; Laplace equation; Biharmonic equation; Equilibrated conditioning; Method of fundamental solutions; Trefftz method; Pre/post conjugate gradient method
Keywords: معادله Biharmonic; Weak Galerkin; Finite element methods; Weak partial derivatives; Biharmonic equation; Polyhedral meshes
Keywords: معادله Biharmonic; Shifted Chebyshev polynomials; Biharmonic equation; Operational matrix of fractional derivative
Keywords: معادله Biharmonic; Biharmonic equation; Singular solution; Existence
Discontinuous Galerkin Isogeometric Analysis for the biharmonic equation
Keywords: معادله Biharmonic; Discontinuous Galerkin methods; Biharmonic equation; Isogeometric analysis; High order elliptic equations; a priori error analysis; Multi-patches;
The adaptive Ciarlet-Raviart mixed method for biharmonic problems with simply supported boundary condition
Keywords: معادله Biharmonic; Ciarlet-Raviart mixed method; A priori/a posteriori error estimates; Biharmonic equation; Biharmonic eigenvalue problem; Simply supported boundary condition;
On the numerical solution of high order multi-dimensional elliptic PDEs
Keywords: معادله Biharmonic; Differential quadrature method; Elliptic PDEs; Biharmonic equation; Triharmonic equation; Error bounds;
Spline-based DQM for multi-dimensional PDEs: Application to biharmonic and Poisson equations in 2D and 3D
Keywords: معادله Biharmonic; Differential quadrature method; B-spline; Multi-dimensional PDEs; Poisson equation; Biharmonic equation;
Positive radial solutions for quasilinear biharmonic equations
Keywords: معادله Biharmonic; Positive radial solution; Biharmonic equation; Singular; Schauder's fixed point theorem;
A new proof of I. Guerra's results concerning nonlinear biharmonic equations with negative exponents
Keywords: معادله Biharmonic; Biharmonic equation; Asymptotic behavior; Entire solution
Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category
Keywords: معادله Biharmonic; Biharmonic equation; Critical exponent; Lusternik-Schnirelmann category; Positive solutions;
A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation
Keywords: معادله Biharmonic; Inverse Cauchy problem; Incomplete Cauchy problem; Trefftz method; Biharmonic equation; T-complete bases; Multiple-scale Trefftz method;
A comparison of a posteriori error estimates for biharmonic problems solved by the FEM
Keywords: معادله Biharmonic; 65N15; 65N30; Biharmonic equation; hp-adaptive finite element method; A posteriori error estimates;
Towards the analytic characterization of micro and nano surface features using the Biharmonic equation
Keywords: معادله Biharmonic; Surface profiling; Micromoulding; Biharmonic equation
A biharmonic eigenvalue problem and ITS application
Keywords: معادله Biharmonic; Biharmonic equation; potential well; eigenvalue problem; asymptotically linear35J20; 35J60
Positive solutions of semilinear biharmonic equations with critical Sobolev exponents
Keywords: معادله Biharmonic; 35J35; 35J40; 58E30Critical Sobolev exponent; Biharmonic equation; Positive solutions
Solving 2D and 3D Poisson equations and biharmonic equations by the Haar wavelet method
Keywords: معادله Biharmonic; Haar wavelet; Poisson equation; Biharmonic equation
A spectral collocation method based on Haar wavelets for Poisson equations and biharmonic equations
Keywords: معادله Biharmonic; Haar wavelet; Poisson equation; Biharmonic equation
Infinitely many nontrivial solutions for a class of biharmonic equations via variant fountain theorems
Keywords: معادله Biharmonic; Biharmonic equation; Nonlinearity with superlinear and asymptotically linear terms; Variant fountain theorems
A meshless method for nonhomogeneous polyharmonic problems using method of fundamental solution coupled with quasi-interpolation technique
Keywords: معادله Biharmonic; Meshless; Method of fundamental solutions; Quasi-interpolation; Nonhomogeneous; Biharmonic equation; Error estimate
Fluid-structure interactions using different mesh motion techniques
Keywords: معادله Biharmonic; Finite elements; Fluid-structure interaction; Monolithic formulation; Biharmonic equation
Regularized solutions with a singular point for the inverse biharmonic boundary value problem by the method of fundamental solutions
Keywords: معادله Biharmonic; Biharmonic equation; Cauchy problem; Generalized cross-validation; Inverse problem; L-curve; Method of fundamental solutions; Method of particular solutions; Singular point; Tikhonov regularization; Truncated singular value decomposition
Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator
Keywords: معادله Biharmonic; Collision operator; Plasma physics; Poisson equation; Biharmonic equation; Fast solvers
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
Keywords: معادله Biharmonic; Second kind integral equation; Dirichlet problem; Biharmonic equation
The Trefftz method using fundamental solutions for biharmonic equations
Keywords: معادله Biharmonic; Method of fundamental solutions; Almansi’s fundamental solutions; Biharmonic equation; Singularity problem; Trefttz method; Error and stability analysis
Path-independent integrals around two circular holes in an infinite plate under biaxial loading conditions
Keywords: معادله Biharmonic; Airy stress function; Biharmonic equation; Circular holes; Bipolar coordinates; Plane elasticity; Conservation laws; Energy release rate
Regular hybrid boundary node method for biharmonic problems
Keywords: معادله Biharmonic; Meshless method; Regular hybrid boundary node method; Hybrid displacement variational principle; Fundamental solution; Moving least squares approximation; Biharmonic equation
Regularity for a fourth-order critical equation with gradient nonlinearity
Keywords: معادله Biharmonic; Biharmonic equation; Gradient nonlinearity; Regularity
Numerical performance of parallel group explicit solvers for the solution of fourth order elliptic equations
Keywords: معادله Biharmonic; Parallel implementation; Biharmonic equation; Group explicit methods; Message passing interface;
Three-phase compressible flow in porous media: Total Differential Compatible interpolation of relative permeabilities
Keywords: معادله Biharmonic; Multiphase flow; Porous media; Compressible flow; Global pressure; Mathematical modeling; Biharmonic equation
A Galerkin boundary node method for biharmonic problems
Keywords: معادله Biharmonic; Meshless; Galerkin boundary node method; Biharmonic equation; Moving least-squares; Boundary integral equation
Multiplicity of solutions for a class of fourth elliptic equations
Keywords: معادله Biharmonic; 35J35; 35J40; 49J40∇∇-condition; Linking; Biharmonic equation
Jeffery solution for an elastic disk containing a sliding eccentric circular inclusion assembled by interference fit
Keywords: معادله Biharmonic; Analytical solutions; Biharmonic equation; Circular inclusion; Frictionless contact; Linear elasticity; Bipolar coordinates; Interference fit
The singular function boundary integral method for biharmonic problems with crack singularities
Keywords: معادله Biharmonic; Biharmonic equation; Boundary singularity; Stress intensity factors; Singular function boundary integral method; Lagrange multipliers; Crack singularity
Numerical solution for biharmonic equation using multilevel radial basis functions and domain decomposition methods
Keywords: معادله Biharmonic; Radial basis functions; Meshless method; Multilevel RBF; Overlapping domain decomposition; Biharmonic equation
hp-version interior penalty DGFEMs for the biharmonic equation
Keywords: معادله Biharmonic; 65N12; 65N15; 65N30Discontinuous Galerkin methods; Biharmonic equation
A nonstiff, adaptive mesh refinement-based method for the Cahn–Hilliard equation
Keywords: معادله Biharmonic; Adaptive method; Conservative phase field models; Spinodal decomposition; Adaptive mesh refinements; Semi-implicit methods; Multilevel multigrid; Biharmonic equation
Convergence and performance of the h- and p-extensions with mixed finite element C0-continuity formulations, for tension and buckling of a gradient elastic beam
Keywords: معادله Biharmonic; Gradient elasticity; Buckling; Mixed methods; Biharmonic equation; Sixth-order equations; Finite elements; h- and p-Extensions; Babuška–Brezzi conditions
The singular function boundary integral method for a two-dimensional fracture problem
Keywords: معادله Biharmonic; Biharmonic equation; Boundary singularity; Stress intensity factors; Boundary integral method; Lagrange multipliers
Iterative method for solving the Neumann boundary value problem for biharmonic type equation
Keywords: معادله Biharmonic; Iterative method; Neumann problem; Biharmonic equation
TH-collocation for the biharmonic equation
Keywords: معادله Biharmonic; Trefftz method; Collocation; Domain decomposition; Biharmonic equation; Discontinuous Galerkin;
Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows
Keywords: معادله Biharmonic; Biharmonic equation; Polar coordinates; Sherman-Morrison formula; FFT; Vorticity stream function formulation;
An analytic pseudo-spectral method to generate a regular 4-sided PDE surface patch
Keywords: معادله Biharmonic; PDE method; Surface generation; Biharmonic equation;