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Symbolic-Numerical Algorithms forÂ Solving Elliptic Boundary-Value Problems Using Multivariate Simplex Lagrange Elements

Gusev A.A., Gerdt V.P., Chuluunbaatar O., Chuluunbaatar G., Vinitsky S.I., Derbov V.L., Góźdź A., Krassovitskiy P.M.

cube and a hypercube. © 2018, Springer Nature Switzerland AG.

Algorithm for calculating interpolation Hermite polynomials in d-dimensional hypercube in the analytical form

Gusev A.A., Chuluunbaatar G., Chuluunbaatar O., Gerdt V.P., Vinitsky S.I., Hai L.L., Lua T.T., Derbov V.L., Góźdź A.

in the standard d -dimensional hypercube is presented. The basis functions of finite elements are polynomials

CREATIVE IMAGINATION IN THE DIGITAL AGE = DISCOVERY

n-cube

Solution of Nonhomogeneous Helmholtz Equation with Variable Coefficient Using Boundary Domain Integral Method

Mardanov R., Zaripov S.

to the solution of the nonhomogeneous Helmholtz equation with variable coefficient. The analytical formulas

High-Accuracy Finite Element Method: Benchmark Calculations

Gusev A., Vinitsky S., Chuluunbaatar O., Chuluunbaatar G., Gerdt V., Derbov V., Góźdź A., Krassovitskiy P.

the elliptic boundary-value problems and show its efficiency on benchmark solutions of the Helmholtz equation

Construction of Multivariate Interpolation Hermite Polynomials for Finite Element Method

Chuluunbaatar G., Gusev A.A., Chuluunbaatar O., Gerdt V.P., Vinitsky S.I., Derbov V.L., Gozdz A., Krassovitskiy P.M., Hai L.L.

schemes, algorithms and programs is demonstrated by solving the Helmholtz problem for a cube.

Boundary-Value Problems for the Helmholtz Equation for a Half-Plane with a Lipschitz Inclusion

, modeling the process of wave diffraction, are constructed in the form of Helmholtz equations and boundary

Fundamental solution of multidimensional axisymmetric Helmholtz equation

Mavlyaviev R., Garipov I.

© 2016 Informa UK Limited, trading as Taylor & Francis GroupFor axisymmetric Helmholtz equation

An over-determined boundary problem for the Helmholtz equation in a semiinfinite domain with a curvilinear boundary

In this paper we consider an over-determined Cauchy problem for the Helmholtz equation in a

Fundamental solution of multidimensional axisymmetric Helmholtz equation

Mavlyaviev R., Garipov I.

© 2016 Informa UK Limited, trading as Taylor & Francis Group.For axisymmetric Helmholtz equation

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