FIU Discovery

Meshfree modeling of dynamic response of mechanical structures.  MECCANICA.  49:2399-2418.

Three-Dimensional Natural Vibration Analysis With Meshfree Solution Structure Method.  JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME.  136.

Meshfree natural vibration analysis of 2D structures.  COMPUTATIONAL MECHANICS.  53:283-296.

Engineering analysis in imprecise geometric models.  FINITE ELEMENTS IN ANALYSIS AND DESIGN.  66:96-109.

Finite element analysis in situ.  FINITE ELEMENTS IN ANALYSIS AND DESIGN.  47:957-972.

Hybrid Method of Engineering Analysis: Combining Meshfree Method with Distance Fields and Collocation Technique.  JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING.  11.

Computational estimation of elastic properties of spark plasma sintered TaC by meshfree and finite element methods.  COMPUTATIONAL MATERIALS SCIENCE.  50:2615-2620.

Geometric Issues in Computer Aided Design/Computer Aided Engineering Integration.  JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING.  11.

Adaptive multiresolution refinement with distance fields.  INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING.  72:1355-1386.

Shape optimization with topological changes and parametric control.  INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING.  71:313-346.

Field modeling with sampled distances.  COMPUTER-AIDED DESIGN.  38:87-100.

Meshfree modeling and analysis of physical fields in heterogeneous media.  ADVANCES IN COMPUTATIONAL MATHEMATICS.  23:95-124.

Heterogeneous material modeling with distance fields

A meshfree method for incompressible fluid dynamics problems.  INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING.  58:127-158.

Data structure and algorithms for fast automatic differentiation.  INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING.  56:1949-1972.

The architecture of SAGE - A meshfree system based on RFM

Transfinite interpolation over implicitly defined sets

On completeness of RFM solution structures.  COMPUTATIONAL MECHANICS.  25:305-316.

Implicit functions with guaranteed differential properties

Meshfree simulation of deforming domains.  COMPUTER-AIDED DESIGN.  31:459-471.

HYBRID METHOD OF ENGINEERING ANALYSIS: COMBINING MESHFREE METHOD WITH DISTANCE FIELDS AND COLLOCATION TECHNIQUE.  77-84.

Geometrically adaptive numerical integration.  147-158.

Scan and solve: Acquiring the physics of artifacts.  345-356.

Scan and solve: Acquiring the physics of artifacts.  23-34.

Parametric and topological control in shape optimization