Industry Flagship Simulation Suites Matrix
No single numerical solver is mathematically optimal for all problem classes. Below is the technical breakdown of how each flagship software suite approaches Maxwell's equations.
| Software Platform | Flagship Technologies | Governing Domain | Mesh Topology | Core Engineering Domain |
|---|---|---|---|---|
Ansys HFSS & Maxwell | FEM, SBR+, HFSS-IE | Frequency Domain | Adaptive 3D Tetrahedral | Complex internal 3D geometries, waveguides, PCB vias, packages & high-Q cavities. |
CST Studio Suite | FIT, FDTD, FEM, MoM | Time Domain & Freq Domain | Hexahedral (PBA) + Tetrahedral | Broadband antennas, transient pulses, lightning strikes, shielding EMC/EMI, and bio-SAR. |
Siemens Simcenter FEKO | MoM / BEM, MLFMM, PO, UTD | Frequency & Asymptotic | Surface Triangular RWG | Electrically massive structures, vehicle-installed antenna placement, and full-scale radar RCS. |
Keysight PathWave ADS | Momentum (MoM), 3D FEM, RFPro | Planar MoM + Harmonic Balance | Planar Polygon + 3D Tetrahedral | MMIC, RFIC packaging, GaN power amplifiers, load-pull synthesis & active-passive co-simulation. |
The Four Mathematical Solver Methodologies
Every numerical solver discretizes Maxwell's curl, divergence, or integral equations differently. Here is how each family functions and where we apply them in client design contracts.
Finite Element Method
Divides 3D space into tetrahedral meshes, assigning vector basis functions to solve Maxwell's curl equations at discrete frequencies. Unequaled accuracy for closed, multi-material geometries.
- •Complex internal geometries and inhomogeneous dielectrics
- •Cavity resonators, waveguide transitions, and coax launches
- •Antenna element radiation patterns & cross-polarization isolation
- •High-density PCB vias, antipads, and microstrip discontinuities
Finite Integration Technique / FDTD
Steps through time solving electric and magnetic fluxes across dual interlaced grids. A single Gaussian pulse excitation is Fourier-transformed to obtain the entire broadband frequency response in one pass.
- •Ultra-wideband (UWB) antennas needing full spectrum in one simulation
- •Transient pulses, lightning strikes, and EMP vulnerability
- •System-level EMC/EMI and enclosure slot leakage
- •Specific Absorption Rate (SAR) and bio-electromagnetics
Method of Moments / Boundary Element Method
Solves for induced surface currents on metallic and dielectric boundaries using Green's functions. Because only surfaces are meshed, the surrounding air requires zero computational overhead.
- •Open radiating structures with infinite empty background
- •Planar microstrip circuits, RFIC metal stacks, and patch arrays
- •Wire antennas, dipoles, Yagi-Uda arrays, and log-periodic feeds
- •Radar Cross Section (RCS) of electrically moderate objects
Multi-Level Fast Multipole Method
An advanced mathematical accelerator for MoM that groups distant mesh elements into hierarchical clusters, transforming dense matrix bottleneck into rapid iterative multipole expansions.
- •Electrically huge structures (hundreds of wavelengths)
- •Aircraft, naval ships, and armored combat vehicles
- •Antenna-to-antenna co-site coupling on complex platforms
- •Large reflector antennas and terrestrial dish feeds
Physical Optics & Uniform Theory of Diffraction
Treats electromagnetic waves as optical rays. Physical Optics computes currents induced directly on illuminated surface patches, while UTD computes diffracted rays bending around sharp structural edges.
- •Electrically massive platforms (thousands of wavelengths)
- •High-frequency radar cross-section (RCS) of stealth aircraft
- •Large parabolic reflectors and sub-reflectors
- •Base station coverage and terrain propagation scattering
Shooting and Bouncing Rays
Launches dense bundles of geometric ray tubes that bounce across complex CAD models, accumulating polarization, phase, and material attenuation with Physical Theory of Diffraction (PTD) edge corrections.
- •Installed antenna radiation patterns on full-scale aircraft
- •Automotive radar (77 GHz) Doppler scattering in urban scenes
- •Multi-bounce cavity reflections and jet engine intake RCS
- •Antenna-to-antenna isolation across complex airframes
Magnetostatic & Electrostatic Solvers
Solves static Maxwell formulations where electric and magnetic fields are uncoupled. Calculates magnetic flux density (B), core saturation, winding eddy-current losses, and electrostatic capacitance matrices.
- •High-power planar inductors, chokes, and transformers
- •Electric motors, generators, and voice-coil actuators
- •Dielectric breakdown, high-voltage clearance, and capacitive sensors
- •MRI gradient coils and magnetic shielding enclosures
Flagship Software Suites We Deploy for Clients
We maintain full modeling licenses and turnkey automated workflows across the world's leading EM computer-aided engineering platforms.
Ansys HFSS & Maxwell
Ansys, Inc.Ansys HFSS delivers finite element frequency-domain electrodynamics with automated adaptive mesh refinement that terminates only when S-parameter convergence thresholds are strictly satisfied.
Ansys HFSS Contract Engineering Services
We build fully parameterized, production-ready .aedt workspaces with exposed variables, analytical equation drivers, and convergence-verified boundary setups.
CST Studio Suite
Dassault Systèmes SIMULIACST Studio Suite is renowned for its Finite Integration Technique (FIT) time-domain solver, simulating full broadband frequency responses from DC to millimeter-wave in a single time-domain calculation pulse.
CST Studio Suite Simulation Services
Nikola RF delivers validated time-domain and frequency-domain models, transient pulse evaluations, and comprehensive EMC/EMI enclosure mitigations.
Siemens Simcenter FEKO
Siemens Digital Industries SoftwareSimcenter FEKO is the benchmark platform for Method of Moments (MoM) and Multi-Level Fast Multipole Method (MLFMM), discretizing only boundary surfaces to conquer electrically massive radiation and radar scattering.
Simcenter FEKO Modeling & Co-Site Services
We provide comprehensive platform antenna integration, co-site coupling audits, and radar scattering predictions using accelerated MLFMM and hybrid methods.
Keysight PathWave ADS & RFPro
Keysight TechnologiesKeysight PathWave ADS combines planar surface integral MoM (Momentum) with 3D volumetric FEM and RFPro to deliver seamless electro-circuit co-simulation for RFIC, MMIC, and high-frequency PCB systems.
Keysight ADS & RFPro Co-Design Services
We deliver uncompiled Keysight ADS workspaces with harmonized layout-circuit co-simulations, nonlinear harmonic balance setups, and load-pull matching benches.
Initiate Project Scope & NDA
We treat client intellectual property with military-grade rigor. Prior to receiving proprietary disclosure files, patent drafts, or trade secret geometries, we execute standard bilateral NDAs.
Bilateral NDA Standard
Mutual non-disclosure executed before file transmission.
Isolated On-Prem Compute
Simulations run on dedicated air-gapped workstations.
Clean Room Protocol
Full audit trail for IP litigation and patent defense.