Linear solvers
Conjugate Gradient (CG)
A Krylov solver for symmetric positive-definite systems.
CG minimizes the residual over expanding Krylov subspaces, converging far faster than stationary methods for SPD systems common in FEM.
Best suited for
- FEM systems
- Poisson solves
- Optimization
Conjugate Gradient (CG) by industry
See how the conjugate gradient (cg) is applied across sectors:
Conjugate Gradient (CG) for AerospaceConjugate Gradient (CG) for AutomotiveConjugate Gradient (CG) for Biotech & PharmaConjugate Gradient (CG) for EnergyConjugate Gradient (CG) for Electronics & SemiconductorsConjugate Gradient (CG) for Civil & StructuralConjugate Gradient (CG) for ManufacturingConjugate Gradient (CG) for Marine & OffshoreConjugate Gradient (CG) for Healthcare & Medical DevicesConjugate Gradient (CG) for Chemical & ProcessConjugate Gradient (CG) for Materials ScienceConjugate Gradient (CG) for RoboticsConjugate Gradient (CG) for Climate & EnvironmentConjugate Gradient (CG) for Consumer ProductsConjugate Gradient (CG) for DefenseConjugate Gradient (CG) for Oil & GasConjugate Gradient (CG) for Electronics CoolingConjugate Gradient (CG) for Sports & WearablesConjugate Gradient (CG) for Education & ResearchConjugate Gradient (CG) for AgTechConjugate Gradient (CG) for Makers & HobbyistsConjugate Gradient (CG) for Hardware StartupsConjugate Gradient (CG) for Electric VehiclesConjugate Gradient (CG) for Renewable EnergyConjugate Gradient (CG) for NuclearConjugate Gradient (CG) for HVAC & BuildingsConjugate Gradient (CG) for Water & WastewaterConjugate Gradient (CG) for Rail & TransitConjugate Gradient (CG) for Mining & GeotechConjugate Gradient (CG) for Food & BeverageConjugate Gradient (CG) for PackagingConjugate Gradient (CG) for Textiles & Apparel
Upgrade your workspace
FEA / Structural Pro Pack — $39
Structural, thermal, and modal finite-element analysis toolset.
Related products
Reproducible Research with PolySim
$18Publish reproducible, citable computational research.
Courses & TrainingView →
Enterprise
$480/moOn-prem/air-gapped deployment with dedicated clusters.
Business & B2B PlansView →
Video Export Credit ×3
$4Render three 4K simulation videos of your time-domain results.
Compute & CreditsView →
Shareable Interactive Embed
$3Publish one live, interactive embed of a simulation to any site.
Compute & CreditsView →
Physics Starter Kit
$19Everything you need to start simulating classical & modern physics.
Bundles & KitsView →
Solver Validation & Benchmarking
$149Validate your setup against benchmark cases and report accuracy.
Expert ServicesView →
▶ Run it, don't just read it