feat: add analysis state and base

phases/analysis-state-analysis-base/index.json

@@ -0,0 +1,42 @@
+{
+  "project": "FESA Structural Solver",
+  "phase": "analysis-state-analysis-base",
+  "steps": [
+    {
+      "step": 0,
+      "name": "analysis-contract-plan",
+      "status": "completed",
+      "summary": "Created the analysis state and analysis base implementation plan with scope, contracts, TDD tasks, and exclusions."
+    },
+    {
+      "step": 1,
+      "name": "analysis-state-core",
+      "status": "completed",
+      "summary": "Added AnalysisState with zero-sized and sized vector storage for displacement, forces, residual, and reaction."
+    },
+    {
+      "step": 2,
+      "name": "analysis-state-guards",
+      "status": "completed",
+      "summary": "Added AnalysisState setters, size guards, resize reset, clearForces, and time/increment/iteration counters."
+    },
+    {
+      "step": 3,
+      "name": "analysis-base-interface",
+      "status": "completed",
+      "summary": "Added the Analysis base interface with const Domain input, mutable AnalysisState, name contract, virtual deletion, and run delegation."
+    },
+    {
+      "step": 4,
+      "name": "cmake-analysis-tests",
+      "status": "completed",
+      "summary": "Registered fesa_analysis_tests and confirmed analysis, domain, model-object, and io CTest targets pass together."
+    },
+    {
+      "step": 5,
+      "name": "validation-report-handoff",
+      "status": "completed",
+      "summary": "Recorded build/test evidence, updated project progress, and marked the phase completed."
+    }
+  ]
+}