Keywords: راه حل های اساسی; Thermal piezoelectric semiconductor; Penny-shaped crack; Fundamental solutions; Extended displacement discontinuity boundary element method; Intensity factor;
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Keywords: راه حل های اساسی; Three-dimensional transversely isotropic piezothermoelastic bi-material; Interface crack; Extended displacement discontinuity method; Triangular element; Fundamental solutions; Gaussian distribution function; Electric and thermal boundary conditions; Exte
Keywords: راه حل های اساسی; Two-dimensional hexagonal quasicrystal; Penny-shaped crack; Half-infinite plane crack; Fundamental solutions; Generalized potential theory method;
Keywords: راه حل های اساسی; Fundamental solutions; Influence functions; Poroelastic rock; Displacement discontinuity method
Keywords: راه حل های اساسی; Boundary element method; 3D anisotropic thermoelasticity; Fundamental solutions; Green's function; Fourier series; Volume-to-surface integral transformation
Keywords: راه حل های اساسی; Time-harmonic coupled thermoelasticity; Linear thermoelasticity; Two-dimensional boundary value problem; Circular hole; Elliptic hole; Fundamental solutions; Singular integral equations;
Keywords: راه حل های اساسی; Backward space–time fractional diffusion problem; Kernel-based approximation; Fundamental solutions; Mittag-Leffler functions; Tikhonov regularization
Keywords: راه حل های اساسی; Cell-based modelling; Fundamental solutions; Immune system response
Keywords: راه حل های اساسی; Integrodifferential; Diffusion; Nonlocal; Fundamental solutions
Keywords: راه حل های اساسی; Multi-field materials; Fundamental solutions; Elliptic operators; Spherical harmonics; Boundary element method;
Keywords: راه حل های اساسی; Scattering; Helmholtz; Acoustic; Diffraction; Grating; Meta-materials; Periodic; Fundamental solutions;
Keywords: راه حل های اساسی; 49Q10; 65N80Eigenvalues; Shape optimization; Fundamental solutions; Optimal partitions
Keywords: راه حل های اساسی; Singular boundary method; Meshless boundary collocation method; Porous media; Biot equations; Fundamental solutions;
Keywords: راه حل های اساسی; Porous elastic materials; Boundary-value problems; Fundamental solutions; Potentials of single-layer and double-layer; Existence and uniqueness theorems;
Keywords: راه حل های اساسی; Green's functions; Fundamental solutions; Meshfree; Discrete transformation; Boundary collocation; Pitting corrosion;
Keywords: راه حل های اساسی; Generalized Fermat's principle; Fundamental solutions; Cascade diffraction;
Keywords: راه حل های اساسی; Heat conduction; Heterogeneous materials; Meshless boundary collocation methods; Fundamental solutions; Origin intensity factor;
Keywords: راه حل های اساسی; 11E25; 11D09; 33D45Sums of consecutive cubed integers equal to square integers; Quadratic Diophantine equation; Generalized Pell equation; Fundamental solutions; Chebyshev polynomials
Keywords: راه حل های اساسی; 35K65; 58J35; 35K55; 35B40Porous Medium Equation; Hyperbolic space; Fundamental solutions; Asymptotic behavior
Keywords: راه حل های اساسی; Chiral materials; Gradient elasticity; Concentrated loads; Boussinesq–Somigliana–Galerkin solution; Fundamental solutions
Keywords: راه حل های اساسی; Generalized thermoelastic diffusion; Boundary integral equation formulation; Fundamental solutions; Reciprocity relation
Keywords: راه حل های اساسی; Couple stress; Size-dependent elasticity; Fundamental solutions; Green's functions;
Keywords: راه حل های اساسی; Integral transforms; Fundamental solutions; PDEs on Lie groups; Cauchy problems
Keywords: راه حل های اساسی; Time fractional diffusion-wave operator; Time fractional parabolic Dirac operator; Fundamental solutions; Caputo fractional derivative; Fractional moments
n-sided polygonal hybrid finite elements with unified fundamental solution kernels for topology optimization
Keywords: راه حل های اساسی; Topology optimization; Polygonal hybrid finite element; Fundamental solutions; Voronoi tessellations;
Fundamental solutions to advection-diffusion equation with time-fractional Caputo-Fabrizio derivative
Keywords: راه حل های اساسی; Advection-diffusion equation; Caputo-Fabrizio derivative; Dirichlet problem; Fundamental solutions;
New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs
Keywords: راه حل های اساسی; Hyperbolic PDEs; Integral equations; Fundamental solutions; Cauchy problems; Harmonic analysis;
Fundamental solutions and analysis of three-dimensional cracks in one-dimensional hexagonal piezoelectric quasicrystals
Keywords: راه حل های اساسی; One-dimensional hexagonal piezoelectric quasicrystals; Three-dimensional crack; Fundamental solutions; Boundary integral equation method; Intensity factor
Special n-sided Voronoi fiber/matrix elements for clustering thermal effect in natural-hemp-fiber-filled cement composites
Keywords: راه حل های اساسی; Natural fiber; Cement composites; Clustering; Thermal conductivity; Special n-sided Voronoi fiber/matrix elements; Fundamental solutions
The interior field method for Laplace׳s equation in circular domains with circular holes
Keywords: راه حل های اساسی; Interior field method; Null field method; Trefftz method; Circular domains; Fundamental solutions; Error analysis; Aliasing errors
Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
Keywords: راه حل های اساسی; primary; 43A80; secondary; 26D15; 35A08; 46E35; Hardy inequality; Fractional order operator; Sublaplacian; Heisenberg group; Heat semigroup; Fundamental solutions; Uncertainty principle;
Interaction analysis of multiple coated fibers in cement composites by special n-sided interphase/fiber elements
Keywords: راه حل های اساسی; Cement composites; Natural fiber; Interphase; Special n-sided interphase/fiber elements; Fundamental solutions;
General solutions of plane elasticity of one-dimensional orthorhombic quasicrystals with piezoelectric effect
Keywords: راه حل های اساسی; General solutions; 1D orthorhombic quasicrystals; Piezoelectric effect; Fundamental solutions
Nonlocal elasticity defined by Eringen’s integral model: Introduction of a boundary layer method
Keywords: راه حل های اساسی; Nonlocal elasticity; Eringen’s integral; Exponential basis functions; Trefftz method; Fundamental solutions; Boundary layer
Fourier transforms in the “classical sense”, Schur spaces and a new formula for the Fourier transforms of slowly increasing, O(p,q)O(p,q)-invariant functions
Keywords: راه حل های اساسی; (vector-valued) distributions; Fourier transforms; Locally convex spaces; Fundamental solutions; Sobolev’s operator
On fundamental solutions for non-local parabolic equations with divergence free drift
Keywords: راه حل های اساسی; Non-local parabolic equations; Divergence free drift; Fundamental solutions; Nash iteration; 2D dissipative quasi-geostrophic equations;
On 2D Green's functions for 1D hexagonal quasi-crystals
Keywords: راه حل های اساسی; One-dimensional hexagonal quasi-crystal; Two-dimensional thermo-elastic general solutions; Fundamental solutions
Three-dimensional dynamic Green's functions in transversely isotropic tri-materials
Keywords: راه حل های اساسی; Transversely isotropic; Fundamental solutions; Tri-materials; Wave propagation;
Fundamental solution in classical elasticity via Lie group method
Keywords: راه حل های اساسی; Lie symmetry groups; Fundamental solutions; Classical elasticity
The method of fundamental solutions and its combinations for exterior problems
Keywords: راه حل های اساسی; Method of fundamental solutions; Method of particular solutions; Fundamental solutions; Trefftz method; Exterior problem; Singularity problem;
Boundary element method for thermoelastic analysis of three-dimensional transversely isotropic solids
Keywords: راه حل های اساسی; Boundary element method; Transversely isotropic thermo-elasticity; Fundamental solutions; Green’s function; Volume-to-Surface integral transformation
Investigation on near-boundary solutions by singular boundary method
Keywords: راه حل های اساسی; Singular boundary method; Fundamental solutions; Near singularity; Boundary layer effect; Nonlinear transformation
Two-dimensional heat conduction in thermodynamics of continua with microtemperature distributions
Keywords: راه حل های اساسی; Continua with microtemperatures; Heat transfer; Theory of potentials; Fundamental solutions; Thermal fields in tubes
Numerical implementation of local effects due to two-dimensional discontinuous loads using special elements based on boundary integrals
Keywords: راه حل های اساسی; Special-purpose element; Discontinuous loads; Fundamental solutions; Hybrid finite element method; Plane elasticity
The null-field method of Dirichlet problems of Laplace's equation on circular domains with circular holes
Keywords: راه حل های اساسی; Null field method; Circular domains; Fundamental solutions; Error analysis; Stability analysis; Dirichlet condition
Analytical solution for elastic fields caused by eigenstrains in a half-space and numerical implementation based on FFT
Keywords: راه حل های اساسی; Micromechanics; Inclusion; Fundamental solutions; Fast Fourier transform (FFT);
New derivations of the fundamental solution for heat conduction problems in three-dimensional general anisotropic media
Keywords: راه حل های اساسی; Heat transfer; General anisotropic solids; Fundamental solutions; Fourier and Radon transforms
Two-dimensional version of Sternberg and Al-Khozaie fundamental solution for viscoelastic analysis using the boundary element method
Keywords: راه حل های اساسی; Boundary elements; Linear viscoelasticity; Fundamental solutions
Fundamental-solution-based finite element model for plane orthotropic elastic bodies
Keywords: راه حل های اساسی; Orthotropic materials; Hybrid finite element method; Fundamental solutions
Exponential Basis Functions in solution of laminated structures
Keywords: راه حل های اساسی; Laminated plate; Layered structure; Collocation; Fundamental solutions; Exponential Basis Functions