A new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshes

Computational Mechanics ◽

10.1007/s00466-020-01814-4 ◽

2020 ◽

Vol 65 (4) ◽

pp. 1189-1204 ◽

Author(s):

A. Idesman ◽

B. Dey

Keyword(s):

Helmholtz Equation ◽

Numerical Approach ◽

Irregular Domains ◽

Cartesian Meshes ◽

Optimal Accuracy

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The treatment of the Neumann boundary conditions for a new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.112985 ◽

2020 ◽

Vol 365 ◽

pp. 112985 ◽

Author(s):

A. Idesman ◽

B. Dey

Keyword(s):

Boundary Conditions ◽

Neumann Boundary ◽

Numerical Approach ◽

Neumann Boundary Conditions ◽

Irregular Domains ◽

Cartesian Meshes ◽

Optimal Accuracy

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A new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes—Part 1: the derivations for the wave, heat and Poisson equations in the 1-D and 2-D cases

Archive of Applied Mechanics ◽

10.1007/s00419-020-01744-w ◽

2020 ◽

Vol 90 (12) ◽

pp. 2621-2648 ◽

Author(s):

A. Idesman

Keyword(s):

Numerical Approach ◽

Irregular Domains ◽

Poisson Equations ◽

Cartesian Meshes ◽

Optimal Accuracy

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A new 3-D numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.05.049 ◽

2019 ◽

Vol 354 ◽

pp. 568-592 ◽

Author(s):

A. Idesman ◽

B. Dey

Keyword(s):

Numerical Approach ◽

Irregular Domains ◽

Cartesian Meshes ◽

Optimal Accuracy

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A NEW NUMERICAL APPROACH TO THE SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS WITH OPTIMAL ACCURACY ON IRREGULAR DOMAINS AND CARTESIAN MESHES

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2015) ◽

10.7712/120119.7021.18485 ◽

2019 ◽

Author(s):

Alexander Idesman

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Approach ◽

Irregular Domains ◽

Partial Differential ◽

Cartesian Meshes ◽

Optimal Accuracy

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The numerical solution of the 3D Helmholtz equation with optimal accuracy on irregular domains and unfitted Cartesian meshes

Engineering With Computers ◽

10.1007/s00366-021-01547-9 ◽

2021 ◽

Author(s):

A. Idesman ◽

B. Dey

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

Irregular Domains ◽

Cartesian Meshes ◽

Optimal Accuracy

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A new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes—part 2: numerical simulations and comparison with FEM

Archive of Applied Mechanics ◽

10.1007/s00419-020-01742-y ◽

2020 ◽

Vol 90 (12) ◽

pp. 2649-2674 ◽

Author(s):

B. Dey ◽

A. Idesman

Keyword(s):

Numerical Simulations ◽

Numerical Approach ◽

Irregular Domains ◽

Cartesian Meshes ◽

Optimal Accuracy

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A high-order numerical approach with Cartesian meshes for modeling of wave propagation and heat transfer on irregular domains with inhomogeneous materials

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113249 ◽

2020 ◽

Vol 370 ◽

pp. 113249

Author(s):

A. Idesman ◽

B. Dey

Keyword(s):

Heat Transfer ◽

Wave Propagation ◽

Numerical Approach ◽

Inhomogeneous Materials ◽

Irregular Domains ◽

Cartesian Meshes

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HIGH ACCURACY NUMERICAL APPROACH FOR NON-SIMILAR MIXED CONVECTION BOUNDARY LAYER FLOW OVER A HORIZONTAL PLATE

Computational Thermal Sciences An International Journal ◽

10.1615/computthermalscien.v2.i4.40 ◽

2010 ◽

Vol 2 (4) ◽

pp. 333-339 ◽

Author(s):

K. Venkatasubbaiah

Keyword(s):

Boundary Layer ◽

Mixed Convection ◽

Boundary Layer Flow ◽

Numerical Approach ◽

High Accuracy ◽

Convection Boundary Layer ◽

Horizontal Plate ◽

Convection Boundary ◽

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NUMERICAL APPROACH TO MAGNETOHYDRODYNAMIC VISCOELASTIC FLUID FLOW AND HEAT TRANSFER OVER A NONISOTHERMAL STRETCHING SHEET

Heat Transfer Research ◽

10.1615/heattransres.2012001733 ◽

2012 ◽

Vol 43 (3) ◽

pp. 187-206 ◽

Author(s):

Talla Hymavathi

Keyword(s):

Heat Transfer ◽

Viscoelastic Fluid ◽

Stretching Sheet ◽

Numerical Approach ◽

Flow And Heat Transfer

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A NUMERICAL METHOD FOR THE SOLUTION OF RADIATIVE HEAT TRANSFER PROBLEMS IN IRREGULAR DOMAINS WITH FRESNEL INTERFACES: AXISYMMETRIC PROBLEMS

Proceeding of the 4th International Symposium on Radiative Transfer ◽

10.1615/ichmt.2004.rad-4.60 ◽

2004 ◽

Author(s):

Sergey A. Rukolaine ◽

V. S. Yuferev ◽

V. M. Mamedov

Keyword(s):

Heat Transfer ◽

Numerical Method ◽

Radiative Heat Transfer ◽

Radiative Heat ◽

Irregular Domains ◽

Axisymmetric Problems ◽

Transfer Problems

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